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multiples of 13 wanted

Source: XVΙ May Olympiad (Olimpiada de Mayo) 2010 L1 P4

September 22, 2022
number theorymultiple

Problem Statement

Find all natural numbers of 9090 digits that are multiples of 1313 and have the first 4343 digits equal to each other and nonzero, the last 4343 digits equal to each other, and the middle 44 digits are 2,0,1,02, 0, 1, 0, in that order.
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