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MMO 234 Moscow MO 1953 min no in form 1...1 divisible by 3...3

Source:

August 9, 2019
number theorydivisibleminimum

Problem Statement

Find the smallest number of the form 1...11...1 in its decimal expression which is divisible by 3...3100\underbrace{\hbox{3...3}}_{\hbox{100}},.