We can go from one to sixty quickly, right?

Logic Level 3

Let \(N\) denote the concatenation of the first 60 positive integers:

\[ N = 1234567891011121314...585960. \]

Remove any 100 digits from \(N\) without rearranging the remaining digits, and call the resulting number \(M\). What is the largest possible value of \(M\)?

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