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131431357377 = 3319365938273
BaseRepresentation
bin111101001100111101…
…0110101101111000001
3110120020200021201211000
41322121322311233001
54123132411414002
6140213450042213
712331664050635
oct1723172655701
9416220251730
10131431357377
1150815636111
1221580119369
13c5175b2068
14650b620dc5
15364384e61c
hex1e99eb5bc1

131431357377 has 32 divisors (see below), whose sum is σ = 196024118400. Its totient is φ = 87032365056.

The previous prime is 131431357363. The next prime is 131431357381. The reversal of 131431357377 is 773753134131.

131431357377 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 1 + 3 + 573 + 77 = 666.

It is not a de Polignac number, because 131431357377 - 24 = 131431357361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131431357177) 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, 3414913 + ... + 3453185.

It is an arithmetic number, because the mean of its divisors is an integer number (6125753700).

Almost surely, 2131431357377 is an apocalyptic number.

It is an amenable number.

131431357377 is a deficient number, since it is larger than the sum of its proper divisors (64592761023).

131431357377 is a wasteful number, since it uses less digits than its factorization.

131431357377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39134 (or 39128 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The spelling of 131431357377 in words is "one hundred thirty-one billion, four hundred thirty-one million, three hundred fifty-seven thousand, three hundred seventy-seven".

Divisors: 1 3 9 27 193 579 659 1737 1977 5211 5931 17793 38273 114819 127187 344457 381561 1033371 1144683 3434049 7386689 22160067 25221907 66480201 75665721 199440603 226997163 680991489 4867828051 14603484153 43810452459 131431357377