[ Decimal numeral system ] [Arithmetic. Mental calculation, etc.]

Given the number: $123456789101112 \ldots$. What digit is in the 2000th place?
Let's find out from which point the decimal representation of the given number will start to include three-digit numbers: 2000 - $9 \cdot 1$ $90 \cdot 2=1811$.

$1811: 3$ = 603 (remainder 2), which means that the 2000th position is the second digit of the 604th three-digit number. This number is 703, so the required digit is 0.

## Answer

The required digit is 0.