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131442270774517 = 2927788318530903
BaseRepresentation
bin11101111000101111001001…
…110110111010010011110101
3122020101202110211220220210001
4131320233021312322103311
5114212022232304241032
61143315425014031301
736454251001052263
oct3570571166722365
9566352424826701
10131442270774517
113897739918300a
12128aa486648531
135845c50823171
142465ba8797433
15102e1ad73c3e7
hex778bc9dba4f5

131442270774517 has 16 divisors (see below), whose sum is σ = 136620201594240. Its totient is φ = 126308406998592.

The previous prime is 131442270774509. The next prime is 131442270774557. The reversal of 131442270774517 is 715477072244131.

It is a cyclic number.

It is not a de Polignac number, because 131442270774517 - 23 = 131442270774509 is a prime.

It is a super-2 number, since 2×1314422707745172 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131442270774557) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2172313 + ... + 16358590.

It is an arithmetic number, because the mean of its divisors is an integer number (8538762599640).

Almost surely, 2131442270774517 is an apocalyptic number.

It is an amenable number.

131442270774517 is a deficient number, since it is larger than the sum of its proper divisors (5177930819723).

131442270774517 is a wasteful number, since it uses less digits than its factorization.

131442270774517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18532092.

The product of its (nonzero) digits is 9219840, while the sum is 55.

The spelling of 131442270774517 in words is "one hundred thirty-one trillion, four hundred forty-two billion, two hundred seventy million, seven hundred seventy-four thousand, five hundred seventeen".

Divisors: 1 29 277 883 8033 25607 244591 7093139 18530903 537396187 5133060131 16362787349 148858743799 474520833121 4532492095673 131442270774517