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131074727470131 = 31994712979187091
BaseRepresentation
bin11101110011011000110110…
…100100011110010000110011
3122012002121210010100111222210
4131303120312210132100303
5114140012020213021011
61142434522025303203
736415556636366064
oct3563306644362063
9565077703314883
10131074727470131
11388455306004a5
121284b1b1034b03
13581a3a8526773
14245209d01a56b
15102484b4926a6
hex77363691e433

131074727470131 has 32 divisors (see below), whose sum is σ = 184173963494400. Its totient is φ = 82689807705120.

The previous prime is 131074727470123. The next prime is 131074727470157.

131074727470131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131074727470131 - 23 = 131074727470123 is a prime.

It is a super-2 number, since 2×1310747274701312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131074727870131) 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, 700499896 + ... + 700686986.

It is an arithmetic number, because the mean of its divisors is an integer number (5755436359200).

Almost surely, 2131074727470131 is an apocalyptic number.

131074727470131 is a deficient number, since it is larger than the sum of its proper divisors (53099236024269).

131074727470131 is a wasteful number, since it uses less digits than its factorization.

131074727470131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201039.

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 131074727470131 in words is "one hundred thirty-one trillion, seventy-four billion, seven hundred twenty-seven million, four hundred seventy thousand, one hundred thirty-one".

Divisors: 1 3 19 57 947 2841 12979 17993 38937 53979 187091 246601 561273 739803 3554729 10664187 12291113 36873339 177175177 233531147 531525531 700593441 2428254089 3366328363 7284762267 10098985089 46136827691 138410483073 2299556622283 6898669866849 43691575823377 131074727470131