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131043332253231 = 3229271331736699
BaseRepresentation
bin11101110010111011100111…
…010001001110011000101111
3122011222121202010201020211200
4131302323213101032120233
5114134003221024100411
61142412250433020543
736413365635425346
oct3562734721163057
9564877663636750
10131043332253231
113883318a845352
12128450aa9b4753
135817444099048
142450761586b5d
151023b1011ae56
hex772ee744e62f

131043332253231 has 72 divisors (see below), whose sum is σ = 199398899606400. Its totient is φ = 82910350353600.

The previous prime is 131043332253227. The next prime is 131043332253269. The reversal of 131043332253231 is 132352233340131.

131043332253231 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 3 + 3 + 322 + 5 + 323 + 1 = 666.

It is not a de Polignac number, because 131043332253231 - 22 = 131043332253227 is a prime.

It is a super-2 number, since 2×1310433322532312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043832253231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177510720 + ... + 178247418.

It is an arithmetic number, because the mean of its divisors is an integer number (2769429161200).

Almost surely, 2131043332253231 is an apocalyptic number.

131043332253231 is a deficient number, since it is larger than the sum of its proper divisors (68355567353169).

131043332253231 is a wasteful number, since it uses less digits than its factorization.

131043332253231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737165 (or 737133 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 131043332253231 its reverse (132352233340131), we get a palindrome (263395565593362).

The spelling of 131043332253231 in words is "one hundred thirty-one trillion, forty-three billion, three hundred thirty-two million, two hundred fifty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 29 71 87 213 261 331 639 841 993 2059 2523 2979 6177 7569 9599 18531 23501 28797 59711 70503 86391 179133 211509 278371 537399 681529 736699 835113 2044587 2210097 2505339 6133761 6630291 19764341 21364271 52305629 59293023 64092813 156916887 177879069 192278439 243847369 470750661 619563859 731542107 1516863241 1858691577 2194626321 4550589723 5576074731 7071573701 13651769169 17313163199 21214721103 43989033989 51939489597 63644163309 131967101967 155818468791 205075637329 395901305901 502081732771 615226911987 1506245198313 1845680735961 4518735594939 14560370250359 43681110751077 131043332253231