olymmath

KöMaL 2026 A938

    Prove that all divisors of the positive integer 1000…00⏟2026999…99⏟20261\underbrace{000\ldots00}_{2026}\underbrace{999\ldots99}_{2026} (written in base 10) end in a digit 1 or 9 (also in base 10).

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