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PUZZLET 114

Proper Divisor Strings

The "proper divisor strings" of, say, 123 are 12, 23, 1, 2, and 3. It turns out that there are few, if any, cases where  the sum of the values of these strings is equal to the integer from which they are derived. However, there are plenty of cases where the sum of  these values is equal to the reversal of the generating integer. 

Example:  941 -- 94 + 41 + 9 + 4 + 1 = 149.

Find all such examples between 100 and 100,000.



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Last Updated: January 14th, 2010.