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Number Theory Level 2

Hummus gives clues about his six-digit secret number:

  • Clue 1: It is the same number if you read it from right to left.
  • Clue 2: The number is a multiple of 9.
  • Clue 3: Cross off the first and last digits. The only prime factor of the remaining four-digit number is 11.

What is Hummus’s six-digit number?


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