Question 33
$$
R(k) = \underbrace{22\dots22}_{k} 1.
$$
Find all positive integers $n$ such that
$$
2013 \mid R(10^n).
$$
R(k) = \underbrace{22\dots22}_{k} 1.
$$
Find all positive integers $n$ such that
$$
2013 \mid R(10^n).
$$
Math Olympiad Vault · MathNet 2013