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131641538 = 272192612
BaseRepresentation
bin1111101100010…
…11000011000010
3100011201002020112
413312023003002
5232200012123
621021311322
73155635400
oct766130302
9304632215
10131641538
1168343266
1238105542
1321371a02
14136aa470
15b854d78
hex7d8b0c2

131641538 has 54 divisors (see below), whose sum is σ = 246466233. Its totient is φ = 52572240.

The previous prime is 131641537. The next prime is 131641561. The reversal of 131641538 is 835146131.

It can be written as a sum of positive squares in 2 ways, for example, as 89170249 + 42471289 = 9443^2 + 6517^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8113.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131641537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2158028 + ... + 2158088.

Almost surely, 2131641538 is an apocalyptic number.

131641538 is a deficient number, since it is larger than the sum of its proper divisors (114824695).

131641538 is an equidigital number, since it uses as much as digits as its factorization.

131641538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 89 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 131641538 is about 11473.5146315329. The cubic root of 131641538 is about 508.7030199682.

Multiplying 131641538 by its sum of digits (32), we get a square (4212529216 = 649042).

Adding to 131641538 its reverse (835146131), we get a palindrome (966787669).

The spelling of 131641538 in words is "one hundred thirty-one million, six hundred forty-one thousand, five hundred thirty-eight".

Divisors: 1 2 7 14 19 38 49 61 98 122 133 266 361 427 722 854 931 1159 1862 2318 2527 2989 3721 5054 5978 7442 8113 16226 17689 22021 26047 35378 44042 52094 56791 70699 113582 141398 154147 182329 308294 364658 494893 989786 1079029 1343281 2158058 2686562 3464251 6928502 9402967 18805934 65820769 131641538