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ASU 284 All Soviet Union MO 1980 all numbers from 19 to 80, divisible by 1980

Source:

July 19, 2019
number theorydivisible

Problem Statement

All the two-digit numbers from 1919 to 8080 are written in a line without spaces. Is the obtained number 192021....7980192021....7980 divisible by 19801980?
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