# Divisible Sandwiches

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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