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Multiplying 111,111,111 x 111,111,111 = 12,345,678,987, 654,321

2007-05-25 02:32:18 · 3 answers · asked by pishiiiii 1 in Society & Culture Languages

3 answers

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 · answer #1 · answered by HandsOnCelibacy 4 · 1 0

I guess I do now.

2007-05-25 09:41:27 · answer #2 · answered by 2007_Shelby_GT500 7 · 0 0

yeah yeah...

2007-05-25 09:40:40 · answer #3 · answered by airesed 2 · 0 0

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