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131331000222012 = 223171316781724723
BaseRepresentation
bin11101110111000111100001…
…100111011100000100111100
3122020000010021012202012000210
4131313013201213130010330
5114203211342024101022
61143152343435552420
736443231421006153
oct3567074147340474
9566003235665023
10131331000222012
1138934189919008
12128909b22bb710
1358385ca02b956
14246065095a59a
15102b349d1ea0c
hex7771e19dc13c

131331000222012 has 96 divisors (see below), whose sum is σ = 326990320360704. Its totient is φ = 40881278131200.

The previous prime is 131331000221989. The next prime is 131331000222127. The reversal of 131331000222012 is 210222000133131.

It is a self number, because there is not a number n which added to its sum of digits gives 131331000222012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180853083 + ... + 181577805.

It is an arithmetic number, because the mean of its divisors is an integer number (3406149170424).

Almost surely, 2131331000222012 is an apocalyptic number.

131331000222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331000222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163495160180352).

131331000222012 is an abundant number, since it is smaller than the sum of its proper divisors (195659320138692).

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

131331000222012 is a wasteful number, since it uses less digits than its factorization.

131331000222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731659 (or 731657 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131331000222012 its reverse (210222000133131), we get a palindrome (341553000355143).

The spelling of 131331000222012 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 6781 8908 13362 13562 20343 26724 27124 40686 81372 115277 230554 345831 461108 691662 724723 888311 1383324 1449446 1776622 2174169 2664933 2898892 3553244 4348338 5329866 8696676 10659732 12320291 15101287 24640582 30202574 36960873 45303861 49281164 60405148 73921746 90607722 94938713 147843492 181215444 189877426 284816139 379754852 569632278 1139264556 1613958121 3227916242 4841874363 4914346663 6455832484 9683748726 9828693326 14743039989 19367497452 19657386652 29486079978 58972159956 83543893271 167087786542 250631679813 334175573084 501263359626 643779412853 1002526719252 1287558825706 1931338238559 2575117651412 3862676477118 7725352954236 10944250018501 21888500037002 32832750055503 43777000074004 65665500111006 131331000222012