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131012143413985 = 5711997318477359
BaseRepresentation
bin11101110010011110100100…
…010001001111101011100001
3122011212122020112102001121101
4131302132210101033223201
5114133000332203221420
61142350051531554401
736411213021604021
oct3562364421175341
9564778215361541
10131012143413985
1138820a35528849
121283b0458bba01
135814513619792
14244d0432b5a81
151022dd6e5d60a
hex7727a444fae1

131012143413985 has 16 divisors (see below), whose sum is σ = 159436852692480. Its totient is φ = 103328342313280.

The previous prime is 131012143413973. The next prime is 131012143414001. The reversal of 131012143413985 is 589314341210131.

It is not a de Polignac number, because 131012143413985 - 243 = 122216050391777 is a prime.

It is a super-3 number, since 3×1310121434139853 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2148265 + ... + 16329094.

It is an arithmetic number, because the mean of its divisors is an integer number (9964803293280).

Almost surely, 2131012143413985 is an apocalyptic number.

It is an amenable number.

131012143413985 is a deficient number, since it is larger than the sum of its proper divisors (28424709278495).

131012143413985 is a wasteful number, since it uses less digits than its factorization.

131012143413985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18497408.

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 131012143413985 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 5 71 355 19973 99865 1418083 7090415 18477359 92386795 1311892489 6559462445 369048291307 1845241456535 26202428682797 131012143413985