# Biggest Number

Probability Level 4

$N$ is a number where integers from 1 through 60 are written continuously, thus $N=1234567891011...585960.$ What is the largest possible number that could be made after 100 digits are removed?

Note: You are not allowed to rearrange the digits that remain. For instance if we remove the last 100 digits, then we can only have the number 12345678910.

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