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131141404141131 = 3593637203715119
BaseRepresentation
bin11101110100010110111100…
…110011110010011001001011
3122012022222212221021100112010
4131310112330303302121023
5114142110043430004011
61142525310201551003
736423440150630646
oct3564267463623113
9565288787240463
10131141404141131
113887083687427a
12128600baaa5463
1358237732b1347
1424553c6502a5d
15102644ee431a6
hex7745bccf264b

131141404141131 has 16 divisors (see below), whose sum is σ = 177867745574400. Its totient is φ = 85922147609568.

The previous prime is 131141404141103. The next prime is 131141404141159.

131141404141131 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (131141404141103) and next prime (131141404141159).

It is not a de Polignac number, because 131141404141131 - 217 = 131141404010059 is a prime.

It is a super-2 number, since 2×1311414041411312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131141404146131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101213811 + ... + 102501308.

It is an arithmetic number, because the mean of its divisors is an integer number (11116734098400).

Almost surely, 2131141404141131 is an apocalyptic number.

131141404141131 is a deficient number, since it is larger than the sum of its proper divisors (46726341433269).

131141404141131 is a wasteful number, since it uses less digits than its factorization.

131141404141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203718818.

The product of its (nonzero) digits is 2304, while the sum is 30.

It can be divided in two parts, 13114140 and 4141131, that added together give a palindrome (17255271).

The spelling of 131141404141131 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred four million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 59 177 3637 10911 214583 643749 203715119 611145357 12019192021 36057576063 740911887803 2222735663409 43713801380377 131141404141131