2. The total $T$ is obtained as the sum of the integers from 2006 to 2036 inclusive. What is the sum of all the prime factors of $T$ ?
SolUTION
121

We can write the sum as $(2021-15)+(2021-14)+\ldots+(2021-1)+2021+(2021+1)+$ $\ldots+(2021+14)+(2021+15)=31 \times 2021=31 \times 43 \times 47$. The sum of all the prime factors of $T$ is $31+43+47=121$.