Define $A$ as follows:
$A=1\underbrace{0\cdots 0}_{n \text{ zeroes}}1,$
where $n$ is a positive integer. Does there exist another number $B$ similarly formed that is a multiple of $A$:
$B=1\underbrace{0\cdots 0}_{m \text{ zeroes}}1$
such that $B>A?$

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