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131334958020 = 22357378451413
BaseRepresentation
bin111101001010000101…
…1000110101111000100
3110112222221220010202110
41322110023012233010
54122433222124040
6140200123541020
712326413503150
oct1722413065704
9415887803673
10131334958020
1150776183922
122155398a770
13c50062c416
1464dc8ca060
15363a15b980
hex1e942c6bc4

131334958020 has 96 divisors (see below), whose sum is σ = 431630615808. Its totient is φ = 29208079872.

The previous prime is 131334957977. The next prime is 131334958031. The reversal of 131334958020 is 20859433131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131334958020.

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, 4210167 + ... + 4241246.

It is an arithmetic number, because the mean of its divisors is an integer number (4496152248).

Almost surely, 2131334958020 is an apocalyptic number.

131334958020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131334958020 is an abundant number, since it is smaller than the sum of its proper divisors (300295657788).

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

131334958020 is a wasteful number, since it uses less digits than its factorization.

131334958020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451469 (or 8451467 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 131334958020 in words is "one hundred thirty-one billion, three hundred thirty-four million, nine hundred fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 8451413 16902826 25354239 33805652 42257065 50708478 59159891 84514130 101416956 118319782 126771195 169028260 177479673 236639564 253542390 295799455 312702281 354959346 507084780 591598910 625404562 709918692 887398365 938106843 1183197820 1250809124 1563511405 1774796730 1876213686 2188915967 3127022810 3549593460 3752427372 4377831934 4690534215 6254045620 6566747901 8755663868 9381068430 10944579835 13133495802 18762136860 21889159670 26266991604 32833739505 43778319340 65667479010 131334958020