There are more 12-digit palindromic numbers than 11-digit palindromic numbers. This is because the number of possible 12-digit palindromic numbers is greater than the number of possible 11-digit palindromic numbers. In general, the number of palindromic numbers of length n is 9 * 10^((n-1)/2), so for 11-digit palindromic numbers, there are 9 * 10^5 = 900,000 possibilities, while for 12-digit palindromic numbers, there are 9 * 10^6 = 9,000,000 possibilities.
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There are 199 palindromic numbers between 0 and 1000. These include single-digit numbers (0-9), which total 10, and two-digit numbers (11, 22, ..., 99), which add up to 9. Additionally, there are 90 three-digit palindromic numbers, ranging from 101 to 999, that follow the format aba (where a and b are digits). Thus, the total is 10 (single-digit) + 9 (two-digit) + 90 (three-digit) = 109 palindromic numbers.
No.
There are 9 palindromic numbers between 10 and 100. These are 11, 22, 33, 44, 55, 66, 77, 88, and 99. A palindromic number reads the same forwards and backwards, and in this range, all such numbers are double-digit numbers where both digits are the same.
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No.
The only 2-didgit palindromic prime is 11.
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Well, honey, there are 18 palindromic numbers between 10 and 200. Palindromic numbers are like your favorite guilty pleasure - they read the same forwards and backwards. So next time you see a palindromic number, give it a little wink and a nod for being symmetrical in all the right places.
Aside from single digit primes, the first ten palindromic prime numbers are: 11 101 131 151 181 191 313 353 373 383 727
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No. For instance, 101 is not divisible by 11.
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Yes, there are many palindromic numbers that are not evenly divisible by 11 such as 181, 232, 454, 585, 10001, 17871, etc.
There are 9 palindromic numbers between 0 and 100: 11, 22, 33, 44, 55, 66, 77, 88 and 99.