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MathNet 2023-part-01 — 191 problems (EN–VI) Question 8

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 8

The 400-digit number $N = 20232023\ldots2023$, which is formed by 100 copies of $2023$, is written on a blackboard. Lionel has to erase some of the digits of $N$ in such a way that the resulting number is divisible by $84$, and the largest possible. Determine which digits Lionel should erase.