Three Digit NumberPro Problems > Math > Number and Quantity > Number Theory > Digits
Three Digit Number
I'm thinking of a three-digit number. The sum of its digits is between 15 and 20 exclusive. The product of my first and last digits is 18. I don't have any repeated digits, and my digits are not in either ascending order or descending order. I am a multiple of three, but not of six. What number am I?
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Note: a palindrome is a number in which the digits would read the same forward and backward.
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