Sum of Product is me

When I get multiplied by any number, the sum of the figures in the product is always me. What am I?




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Once a king ruling in a distant land heard of Birbal. To check his wit, he sent an invitation and called him to visit his land. Akbar allowed Birbal to go and he took off on the journey.

Upon reaching that kings kingdom, he was welcomed with flowers. He was then escorted to the palace of the king. Upon entering the palace, Birbal found that there were six people sitting in front of him adorning the same robe. They were also lookalike and it was hard to judge who the real king was.

After a couple of minutes, Birbal approached one of them and bowed in front of him greeting him.

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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.