The answer is 2261, isn't it?

Logic Level 2

I am thinking of a 3 digit natural number. Its first digit \(x\) is neither a prime number and nor a square number.

The difference between the number and \(100x\) is cube of a natural number .

If 100 is subtracted from the number it becomes a palindrome. Find the number.

Details and Assumptions:

  • Please don't get mislead by the title, though answer can be expressed as 2261.

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