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no B created by removing middle digit of no A, divisible by 2018

Source: : Czech-Polish-Slovak Junior Match 2018, individual p4 CPSJ

February 1, 2020
number theorydivisibleDigit

Problem Statement

Determine the smallest positive integer AA with an odd number of digits and this property, that both AA and the number BB created by removing the middle digit of the number AA are divisible by 20182018.
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