Find the sum of all three-digit numbers whose prime factors when added is a palindrome. For example, prime factors of 102 is 2, 3, and 17. The sum of these three numbers is 22 which is a palindrome. Keep in mind that the prime factors of 8 is 2, 2, and 2 instead of just 2.
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George Berken Pauli Huusari Riccardo G. Matthew Bolyard

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