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131201214132340 = 225116143577224351
BaseRepresentation
bin11101110101001110101001…
…110000110011000001110100
3122012112201021012022201012201
4131311032221300303001310
5114144100041304213330
61143013001121354244
736430655252313112
oct3565165160630164
9565481235281181
10131201214132340
1138894138a72980
121286b811198984
1358292b5571aa1
14245825ba54ab2
151027ca0b61eca
hex7753a9c33074

131201214132340 has 96 divisors (see below), whose sum is σ = 305505804377088. Its totient is φ = 46926122880000.

The previous prime is 131201214132299. The next prime is 131201214132371. The reversal of 131201214132340 is 43231412102131.

It is a junction number, because it is equal to n+sod(n) for n = 131201214132299 and 131201214132308.

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, 584691165 + ... + 584915515.

It is an arithmetic number, because the mean of its divisors is an integer number (3182352128928).

Almost surely, 2131201214132340 is an apocalyptic number.

131201214132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201214132340 is an abundant number, since it is smaller than the sum of its proper divisors (174304590244748).

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

131201214132340 is a wasteful number, since it uses less digits than its factorization.

131201214132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268009 (or 268007 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131201214132340 its reverse (43231412102131), we get a palindrome (174432626234471).

The spelling of 131201214132340 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred fourteen million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 43577 87154 174308 217885 224351 435770 448702 479347 871540 897404 958694 1121755 1917388 2243510 2396735 2467861 2658197 4487020 4793470 4935722 5316394 9586940 9871444 10632788 12339305 13290985 13685411 24678610 26581970 27370822 29240167 49357220 53163940 54741644 58480334 68427055 116960668 136854110 146200835 150539521 273708220 292401670 301079042 584803340 602158084 752697605 1505395210 3010790420 9776543527 19553087054 39106174108 48882717635 97765435270 107541978797 195530870540 215083957594 430167915188 537709893985 596369155147 1075419787970 1192738310294 2150839575940 2385476620588 2981845775735 5963691551470 6560060706617 11927383102940 13120121413234 26240242826468 32800303533085 65600607066170 131201214132340