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131403352502205 = 3357217369639701
BaseRepresentation
bin11101111000001010111010…
…001001011110111110111101
3122020021001000120022211201000
4131320022322021132332331
5114210403031220032310
61143245511120240513
736451402400152440
oct3570127211367675
9566231016284630
10131403352502205
1138961937899aa3
12128a2a24a70139
13584238a8c4674
142463d55b2d657
15102d181bcc4c0
hex7782ba25efbd

131403352502205 has 64 divisors (see below), whose sum is σ = 266979885580800. Its totient is φ = 60069733747200.

The previous prime is 131403352502197. The next prime is 131403352502239. The reversal of 131403352502205 is 502205253304131.

131403352502205 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 3 + 5 + 25 + 0 + 220 + 5 = 666.

It is not a de Polignac number, because 131403352502205 - 23 = 131403352502197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131403352502205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205093855 + ... + 205733555.

It is an arithmetic number, because the mean of its divisors is an integer number (4171560712200).

Almost surely, 2131403352502205 is an apocalyptic number.

131403352502205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131403352502205 is an abundant number, since it is smaller than the sum of its proper divisors (135576533078595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131403352502205 is a wasteful number, since it uses less digits than its factorization.

131403352502205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857091 (or 857085 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 131403352502205 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred fifty-two million, five hundred two thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 217369 639701 652107 1086845 1521583 1919103 1956321 3198505 3260535 4477907 4564749 5757309 5868963 7607915 9595515 9781605 13433721 13694247 17271927 22389535 22823745 28786545 29344815 40301163 41082741 67168605 68471235 86359635 120903489 201505815 205413705 604517445 139051166669 417153500007 695255833345 973358166683 1251460500021 2085767500035 2920074500049 3754381500063 4866790833415 6257302500105 8760223500147 14600372500245 18771907500315 26280670500441 43801117500735 131403352502205