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131118561 = 33722331139
BaseRepresentation
bin1111101000010…
…11010111100001
3100010201111212000
413310023113201
5232031243221
621002154213
73151326600
oct764132741
9303644760
10131118561
1168016352
1237ab2969
132121a962
14135b1a37
15b79ee26
hex7d0b5e1

131118561 has 96 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 68856480.

The previous prime is 131118557. The next prime is 131118587. The reversal of 131118561 is 165811131.

It is a happy number.

It is not a de Polignac number, because 131118561 - 22 = 131118557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131118511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 943230 + ... + 943368.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2131118561 is an apocalyptic number.

It is an amenable number.

131118561 is a deficient number, since it is larger than the sum of its proper divisors (114027039).

131118561 is a wasteful number, since it uses less digits than its factorization.

131118561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The square root of 131118561 is about 11450.7013322329. The cubic root of 131118561 is about 508.0284784188.

Adding to 131118561 its reverse (165811131), we get a palindrome (296929692).

The spelling of 131118561 in words is "one hundred thirty-one million, one hundred eighteen thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 23 27 31 49 63 69 93 139 147 161 189 207 217 279 417 441 483 621 651 713 837 973 1127 1251 1323 1449 1519 1953 2139 2919 3197 3381 3753 4309 4347 4557 4991 5859 6417 6811 8757 9591 10143 12927 13671 14973 19251 20433 22379 26271 28773 30163 30429 34937 38781 41013 44919 61299 67137 86319 90489 99107 104811 116343 134757 156653 183897 201411 211141 271467 297321 314433 469959 604233 633423 693749 814401 891963 943299 1409877 1900269 2081247 2675889 4229631 4856243 5700807 6243741 14568729 18731223 43706187 131118561