Repeating decimal, part 2

Number Theory Level 1

$0.\overline{00010203040506\ldots 969799}=\frac{1}{N}$

Given that $N$ is a 4-digit integer, find $N$ .

Clarification: The repeated digits are from 00, 01, 02, ..., till 99, without 98, the period is 198.

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