MathDB
Eliminate zeroes from n: ITAMO 2014 P1

Source:

November 19, 2014

Problem Statement

For every 33-digit natural number nn (leading digit of nn is nonzero), we consider the number n0n_0 obtained from nn eliminating all possible digits that are zero. For example, if n=207n = 207, then n0=27n_0 = 27. Determine the number of three-digit positive integers nn, for which n0n_0 is a divisor of nn different from nn.
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