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131044331012022 = 2351631654224179
BaseRepresentation
bin11101110010111100100010…
…110011001011111110110110
3122011222201022202001110100000
4131302330202303023332312
5114134012242214341042
61142412533511532130
736413432453636511
oct3562744263137666
9564881282043300
10131044331012022
11388336525a063a
121284532938a046
135817572c9028c
14245081808dd78
151023b6cb5474c
hex772f22ccbfb6

131044331012022 has 48 divisors (see below), whose sum is σ = 296251699947840. Its totient is φ = 43413459327432.

The previous prime is 131044331011999. The next prime is 131044331012039. The reversal of 131044331012022 is 220210133440131.

131044331012022 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 443 + 3 + 10 + 1 + 202 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 827032872 + ... + 827191307.

It is an arithmetic number, because the mean of its divisors is an integer number (6171910415580).

Almost surely, 2131044331012022 is an apocalyptic number.

131044331012022 is an abundant number, since it is smaller than the sum of its proper divisors (165207368935818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131044331012022 is a wasteful number, since it uses less digits than its factorization.

131044331012022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654224359 (or 1654224347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131044331012022 its reverse (220210133440131), we get a palindrome (351254464452153).

The spelling of 131044331012022 in words is "one hundred thirty-one trillion, forty-four billion, three hundred thirty-one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 978 1467 2934 4401 8802 13203 26406 39609 79218 1654224179 3308448358 4962672537 9925345074 14888017611 29776035222 44664052833 89328105666 133992158499 267984316998 269638541177 401976475497 539277082354 803952950994 808915623531 1617831247062 2426746870593 4853493741186 7280240611779 14560481223558 21840721835337 43681443670674 65522165506011 131044331012022