11
11
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.
No, the number 2 is not considered palindromic in the context of multiple digits. A palindromic number reads the same forwards and backwards. For single-digit numbers like 2, it remains the same, but palindromic typically refers to numbers with at least two digits, such as 121 or 1331. However, in a broader sense, any single-digit number can be seen as trivially palindromic.
Yes.
It is not clear what the question means: there are 31 2-digit numbers that can be expressed as a sum of two squares.
11
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.
No, the number 2 is not considered palindromic in the context of multiple digits. A palindromic number reads the same forwards and backwards. For single-digit numbers like 2, it remains the same, but palindromic typically refers to numbers with at least two digits, such as 121 or 1331. However, in a broader sense, any single-digit number can be seen as trivially palindromic.
1 to 1000. Pilandromic 108
Yes.
The only 2-didgit palindromic prime is 11.
It is not clear what the question means: there are 31 2-digit numbers that can be expressed as a sum of two squares.
Palindromic numbers between 100 and 600 are those that read the same forwards and backwards. The three-digit palindromic numbers in this range are 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, and 595. There are a total of 49 palindromic numbers between 100 and 600.
Total number of 2-digit numbers = (99 - 9) = 90 of themEvery number that isn't a perfect square has an even number of factors.2-digit numbers that are perfect squares: 16, 25, 36, 49, 64, and 81 = 6 of themRemaining 2-digit numbers = (99 - 6) = 93 .
52925 53035
The smallest three-digit number is 100, and the largest is 999. The smallest integer whose square is a three-digit number is 10 (since (10^2 = 100)), and the largest integer is 31 (since (31^2 = 961)). Therefore, the three-digit perfect squares correspond to the integers from 10 to 31, which gives us a total of (31 - 10 + 1 = 22) three-digit perfect squares.
The squares of most 2 digit prime numbers. For example 2809, which is the square of 53, has 3 factors : 1, 53 and 2809 itself.