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Products of digits + 1 is N+1

Source: 2020 Tuymaada Junior P7

October 6, 2020
number theoryDigits

Problem Statement

How many positive integers NN in the segment [10,1020]\left[10, 10^{20} \right] are such that if all their digits are increased by 11 and then multiplied, the result is N+1N+1?
(F. Bakharev)
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