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131010022430541 = 3343199567047219
BaseRepresentation
bin11101110010011100100101…
…110110010101011101001101
3122011212102202201101221022000
4131302130211312111131031
5114132432011220234131
61142345101243542513
736411106325543562
oct3562344566253515
9564772681357260
10131010022430541
1138820047268571
121283a75352aa39
1358142660929a7
14244ccc1726869
151022d10b4dce6
hex772725d9574d

131010022430541 has 32 divisors (see below), whose sum is σ = 199600621440000. Its totient is φ = 84880163967984.

The previous prime is 131010022430533. The next prime is 131010022430561. The reversal of 131010022430541 is 145034220010131.

131010022430541 is a `hidden beast` number, since 1 + 3 + 10 + 100 + 2 + 2 + 4 + 3 + 0 + 541 = 666.

It is not a de Polignac number, because 131010022430541 - 23 = 131010022430533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010022430561) 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, 283292571 + ... + 283754648.

It is an arithmetic number, because the mean of its divisors is an integer number (6237519420000).

Almost surely, 2131010022430541 is an apocalyptic number.

It is an amenable number.

131010022430541 is a deficient number, since it is larger than the sum of its proper divisors (68590599009459).

131010022430541 is a wasteful number, since it uses less digits than its factorization.

131010022430541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567047470 (or 567047464 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131010022430541 its reverse (145034220010131), we get a palindrome (276044242440672).

The spelling of 131010022430541 in words is "one hundred thirty-one trillion, ten billion, twenty-two million, four hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 9 27 43 129 199 387 597 1161 1791 5373 8557 25671 77013 231039 567047219 1701141657 5103424971 15310274913 24383030417 73149091251 112842396581 219447273753 338527189743 658341821259 1015581569229 3046744707687 4852223052983 14556669158949 43670007476847 131010022430541