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131021012421192 = 23337661223216619
BaseRepresentation
bin11101110010100110110100…
…111001110100101001001000
3122011220111010122000022021210
4131302212310321310221020
5114133122013134434232
61142354115553333120
736411645554120625
oct3562466471645110
9564814118008253
10131021012421192
113882477688a173
12128408bbb671a0
1358152c7bc443a
14244d64514d34c
1510232558b25cc
hex7729b4e74a48

131021012421192 has 64 divisors (see below), whose sum is σ = 336914237563200. Its totient is φ = 42429014749440.

The previous prime is 131021012421191. The next prime is 131021012421199. The reversal of 131021012421192 is 291124210120131.

131021012421192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131021012421191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111021342 + ... + 112195277.

It is an arithmetic number, because the mean of its divisors is an integer number (5264284961925).

Almost surely, 2131021012421192 is an apocalyptic number.

131021012421192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131021012421192 is an abundant number, since it is smaller than the sum of its proper divisors (205893225142008).

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

131021012421192 is a wasteful number, since it uses less digits than its factorization.

131021012421192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223217326 (or 223217322 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 131021012421192 in words is "one hundred thirty-one trillion, twenty-one billion, twelve million, four hundred twenty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 661 888 1322 1983 2644 3966 5288 7932 15864 24457 48914 73371 97828 146742 195656 293484 586968 223216619 446433238 669649857 892866476 1339299714 1785732952 2678599428 5357198856 8259014903 16518029806 24777044709 33036059612 49554089418 66072119224 99108178836 147546185159 198216357672 295092370318 442638555477 590184740636 885277110954 1180369481272 1770554221908 3541108443816 5459208850883 10918417701766 16377626552649 21836835403532 32755253105298 43673670807064 65510506210596 131021012421192