# No one was able to solve this problem when i posted it last time!

Number Theory Level 4

Find the smallest integer $$n$$ such that (for some number of 1's)

$999999 \times n = 111 \ldots 111.$

It can be expressed as

$\frac{ 10 ^ {54} -1 } { b ( 10 ^ 6 - 1 ) }.$

Find $$10 + b$$.

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