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131322107017585 = 5118639372952737
BaseRepresentation
bin11101110110111111001111…
…100010100011100101110001
3122012222021022102121121000001
4131312333033202203211301
5114203040133344030320
61143144313151430001
736442465143012361
oct3566771742434561
9565867272547001
10131322107017585
113893043593a990
121288b12bb25301
135837810731303
1424600497c49a1
15102aec91db20a
hex776fcf8a3971

131322107017585 has 32 divisors (see below), whose sum is σ = 172295522122752. Its totient is φ = 95294475694080.

The previous prime is 131322107017579. The next prime is 131322107017601. The reversal of 131322107017585 is 585710701223131.

It is not a de Polignac number, because 131322107017585 - 225 = 131322073463153 is a prime.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 42998337 + ... + 45951073.

It is an arithmetic number, because the mean of its divisors is an integer number (5384235066336).

Almost surely, 2131322107017585 is an apocalyptic number.

It is an amenable number.

131322107017585 is a deficient number, since it is larger than the sum of its proper divisors (40973415105167).

131322107017585 is a wasteful number, since it uses less digits than its factorization.

131322107017585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954553.

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 131322107017585 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, one hundred seven million, seventeen thousand, five hundred eighty-five".

Divisors: 1 5 11 55 863 937 4315 4685 9493 10307 47465 51535 808631 2952737 4043155 8894941 14763685 32480107 44474705 162400535 2548212031 2766714569 12741060155 13833572845 28030332341 30433860259 140151661705 152169301295 2387674673047 11938373365235 26264421403517 131322107017585