text: # 13121 (number)
  
  13121 is an odd five-digits prime number following 13120 and preceding 13122. In scientific notation, it is written as 1.3121 × 104. The sum of its digits is 8. It has a total of one prime factor and 2 positive divisors. There are 13,120 positive integers (up to 13121) that are relatively prime to 13121.
  
  ## Basic properties
  
  • Is Prime? yes
  • Number parity odd
  • Number length 5
  • Sum of Digits 8
  • Digital Root 8
  
  ## Name
  
  Name thirteen thousand one hundred twenty-one
  
  ## Notation
  
  Scientific notation 1.3121 × 104 13.121 × 103
  
  ## Prime Factorization of 13121
  
  Prime Factorization 13121
  
  Prime number
  Distinct Factors Total Factors Radical ω 1 Total number of distinct prime factors Ω 1 Total number of prime factors rad 13121 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 9.48197 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0
  
  The prime factorization of 13121 is 13121. Since it has only one prime factor, 13121 is a prime number.
  
  ## Divisors of 13121
  
  2 divisors
  
   Even divisors 0 2 2 0
  Total Divisors Sum of Divisors Aliquot Sum τ 2 Total number of the positive divisors of n σ 13122 Sum of all the positive divisors of n s 1 Sum of the proper positive divisors of n A 6561 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 114.547 Returns the nth root of the product of n divisors H 1.99985 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors
  
  The number 13121 can be divided by 2 positive divisors (out of which none is even, and 2 are odd). The sum of these divisors (counting 13121) is 13122, the average is 6561.
  
  ## Other Arithmetic Functions (n = 13121)
  
  1 φ(n) n
  Euler Totient Carmichael Lambda Prime Pi φ 13120 Total number of positive integers not greater than n that are coprime to n λ 13120 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 1562 Total number of primes less than or equal to n r2 8 The number of ways n can be represented as the sum of 2 squares
  
  There are 13,120 positive integers (less than 13121) that are coprime with 13121. And there are approximately 1,562 prime numbers less than or equal to 13121.
  
  ## Divisibility of 13121
  
  m n mod m
  2 1
  3 2
  4 1
  5 1
  6 5
  7 3
  8 1
  9 8
  
  13121 is not divisible by any number less than or equal to 9.
  
  • Arithmetic
  • Prime
  • Deficient
  
  • Polite
  
  • Prime Power
  • Square Free
  
  ## Base conversion 13121
  
  Base System Value
  2 Binary 11001101000001
  3 Ternary 122222222
  4 Quaternary 3031001
  5 Quinary 404441
  6 Senary 140425
  8 Octal 31501
  10 Decimal 13121
  12 Duodecimal 7715
  20 Vigesimal 1cg1
  36 Base36 a4h
  
  ## Basic calculations (n = 13121)
  
  ### Multiplication
  
  n×y
   n×2 26242 39363 52484 65605
  
  ### Division
  
  n÷y
   n÷2 6560.5 4373.67 3280.25 2624.2
  
  ### Exponentiation
  
  ny
   n2 172160641 2258919770561 29639286309530881 388897075667354689601
  
  ### Nth Root
  
  y√n
   2√n 114.547 23.5861 10.7027 6.66183
  
  ## 13121 as geometric shapes
  
  ### Circle
  
   Diameter 26242 82441.7 5.40859e+08
  
  ### Sphere
  
   Volume 9.46214e+12 2.16343e+09 82441.7
  
  ### Square
  
  Length = n
   Perimeter 52484 1.72161e+08 18555.9
  
  ### Cube
  
  Length = n
   Surface area 1.03296e+09 2.25892e+12 22726.2
  
  ### Equilateral Triangle
  
  Length = n
   Perimeter 39363 7.45477e+07 11363.1
  
  ### Triangular Pyramid
  
  Length = n
   Surface area 2.98191e+08 2.66216e+11 10713.3
  
  ## Cryptographic Hash Functions
  
  md5 74890305f6e5581d18ccfdbc2dbd7939 27cee4016bab9e38d2b80a91d806e8d405d93044 9f88dcfe8bac5298877c145f4beb70f7121afb3e8142b32ac8187fa535ffdab6 ca19b25b07c749ea0e9f26952a8ac19cdf3aede9e4787f5d103f1ebb27c39bf6e60a46c9203ca9d79ca0b2cb689e755c8b5214e431d9b0f5a3d9e2f944a39dde a3965fe1069b30fe669f210bb54d396feb983426
explanation: The provided text is a detailed description of the number 13121, including its properties, prime factorization, and various mathematical characteristics. It does not contain a specific question or a question-and-answer format.
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distilabel_metadata.role: system
distilabel_metadata.content: # 13121 (number)
  
  13121 is an odd five-digits prime number following 13120 and preceding 13122. In scientific notation, it is written as 1.3121 × 104. The sum of its digits is 8. It has a total of one prime factor and 2 positive divisors. There are 13,120 positive integers (up to 13121) that are relatively prime to 13121.
  
  ## Basic properties
  
  • Is Prime? yes
  • Number parity odd
  • Number length 5
  • Sum of Digits 8
  • Digital Root 8
  
  ## Name
  
  Name thirteen thousand one hundred twenty-one
  
  ## Notation
  
  Scientific notation 1.3121 × 104 13.121 × 103
  
  ## Prime Factorization of 13121
  
  Prime Factorization 13121
  
  Prime number
  Distinct Factors Total Factors Radical ω 1 Total number of distinct prime factors Ω 1 Total number of prime factors rad 13121 Product of the distinct prime numbers λ -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ -1 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ 9.48197 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0
  
  The prime factorization of 13121 is 13121. Since it has only one prime factor, 13121 is a prime number.
  
  ## Divisors of 13121
  
  2 divisors
  
   Even divisors 0 2 2 0
  Total Divisors Sum of Divisors Aliquot Sum τ 2 Total number of the positive divisors of n σ 13122 Sum of all the positive divisors of n s 1 Sum of the proper positive divisors of n A 6561 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G 114.547 Returns the nth root of the product of n divisors H 1.99985 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors
  
  The number 13121 can be divided by 2 positive divisors (out of which none is even, and 2 are odd). The sum of these divisors (counting 13121) is 13122, the average is 6561.
  
  ## Other Arithmetic Functions (n = 13121)
  
  1 φ(n) n
  Euler Totient Carmichael Lambda Prime Pi φ 13120 Total number of positive integers not greater than n that are coprime to n λ 13120 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π ≈ 1562 Total number of primes less than or equal to n r2 8 The number of ways n can be represented as the sum of 2 squares
  
  There are 13,120 positive integers (less than 13121) that are coprime with 13121. And there are approximately 1,562 prime numbers less than or equal to 13121.
  
  ## Divisibility of 13121
  
  m n mod m
  2 1
  3 2
  4 1
  5 1
  6 5
  7 3
  8 1
  9 8
  
  13121 is not divisible by any number less than or equal to 9.
  
  • Arithmetic
  • Prime
  • Deficient
  
  • Polite
  
  • Prime Power
  • Square Free
  
  ## Base conversion 13121
  
  Base System Value
  2 Binary 11001101000001
  3 Ternary 122222222
  4 Quaternary 3031001
  5 Quinary 404441
  6 Senary 140425
  8 Octal 31501
  10 Decimal 13121
  12 Duodecimal 7715
  20 Vigesimal 1cg1
  36 Base36 a4h
  
  ## Basic calculations (n = 13121)
  
  ### Multiplication
  
  n×y
   n×2 26242 39363 52484 65605
  
  ### Division
  
  n÷y
   n÷2 6560.5 4373.67 3280.25 2624.2
  
  ### Exponentiation
  
  ny
   n2 172160641 2258919770561 29639286309530881 388897075667354689601
  
  ### Nth Root
  
  y√n
   2√n 114.547 23.5861 10.7027 6.66183
  
  ## 13121 as geometric shapes
  
  ### Circle
  
   Diameter 26242 82441.7 5.40859e+08
  
  ### Sphere
  
   Volume 9.46214e+12 2.16343e+09 82441.7
  
  ### Square
  
  Length = n
   Perimeter 52484 1.72161e+08 18555.9
  
  ### Cube
  
  Length = n
   Surface area 1.03296e+09 2.25892e+12 22726.2
  
  ### Equilateral Triangle
  
  Length = n
   Perimeter 39363 7.45477e+07 11363.1
  
  ### Triangular Pyramid
  
  Length = n
   Surface area 2.98191e+08 2.66216e+11 10713.3
  
  ## Cryptographic Hash Functions
  
  md5 74890305f6e5581d18ccfdbc2dbd7939 27cee4016bab9e38d2b80a91d806e8d405d93044 9f88dcfe8bac5298877c145f4beb70f7121afb3e8142b32ac8187fa535ffdab6 ca19b25b07c749ea0e9f26952a8ac19cdf3aede9e4787f5d103f1ebb27c39bf6e60a46c9203ca9d79ca0b2cb689e755c8b5214e431d9b0f5a3d9e2f944a39dde a3965fe1069b30fe669f210bb54d396feb983426
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a detailed description of the number 13121, including its properties, prime factorization, and various mathematical characteristics. It does not contain a specific question or a question-and-answer format.
  
  Label: no-question