Yes, I do. And, do you know this?
Any number that is a series of 1's multiplied by itself produces the same palindromic effect. And, with each new 1 the center number increases by 1, creating a climbing pattern.
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12,321
1,111 x 1,111 = 1,234,231
11,111 x 11,111 = 123,454,321
111,111 x 111,111 = 12,345,654,321
1,111,111 x 1,111,111 = 1,234,567,654,321
11,111,111 x 11,111,111 = 123,456,787,654,321
And, finally, what you mentiond: 111,111,111 x 111,111,111 = 12,345,678,987,654,321.
The climbing pattern seemingly stops after 111,111,111. But 1,111,111,111 multiplied by itself still produces a palindrome. After, 1,111,111,111, however, the product is no longer a palindrome.
2007-05-25 03:25:28
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answer #1
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answered by HandsOnCelibacy 4
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