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1312135456261 = 7101103113159457
BaseRepresentation
bin10011000110000001010…
…111100010011000000101
311122102211222100111122011
4103012001113202120011
5132444223134100021
62442441532334221
7163540640232340
oct23060127423005
94572758314564
101312135456261
11466523292093
12192373614371
13969703380a6
1447717187457
15241e9500de1
hex131815e2605

1312135456261 has 32 divisors (see below), whose sum is σ = 1542675783168. Its totient is φ = 1092975206400.

The previous prime is 1312135456241. The next prime is 1312135456483. The reversal of 1312135456261 is 1626545312131.

It is not a de Polignac number, because 1312135456261 - 231 = 1309987972613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312135456211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8149045 + ... + 8308501.

It is an arithmetic number, because the mean of its divisors is an integer number (48208618224).

Almost surely, 21312135456261 is an apocalyptic number.

It is an amenable number.

1312135456261 is a deficient number, since it is larger than the sum of its proper divisors (230540326907).

1312135456261 is a wasteful number, since it uses less digits than its factorization.

1312135456261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159781.

The product of its digits is 129600, while the sum is 40.

The spelling of 1312135456261 in words is "one trillion, three hundred twelve billion, one hundred thirty-five million, four hundred fifty-six thousand, two hundred sixty-one".

Divisors: 1 7 101 103 113 707 721 791 10403 11413 11639 72821 79891 81473 159457 1116199 1175539 8228773 16105157 16424071 18018641 112736099 114968497 126130487 1658831171 1819882741 1855920023 11611818197 12739179187 12991440161 187447922323 1312135456261