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131420405010042 = 232971076911018021
BaseRepresentation
bin11101111000011010110010…
…100011101000111001111010
3122020022200000222121222211100
4131320122302203220321322
5114211142442140310132
61143301411154512230
736452545102114641
oct3570326243507172
9566280028558740
10131420405010042
1138969098561585
12128a61a3895676
135843b777407a5
142464ad279a358
15102d82dcc737c
hex7786b28e8e7a

131420405010042 has 96 divisors (see below), whose sum is σ = 290788813957824. Its totient is φ = 42887798092800.

The previous prime is 131420405010031. The next prime is 131420405010079. The reversal of 131420405010042 is 240010504024131.

131420405010042 is a `hidden beast` number, since 1 + 314 + 204 + 0 + 5 + 0 + 100 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131420405009988 and 131420405010015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128584992 + ... + 129603012.

It is an arithmetic number, because the mean of its divisors is an integer number (3029050145394).

Almost surely, 2131420405010042 is an apocalyptic number.

131420405010042 is an abundant number, since it is smaller than the sum of its proper divisors (159368408947782).

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

131420405010042 is a wasteful number, since it uses less digits than its factorization.

131420405010042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018924 (or 1018921 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 131420405010042 its reverse (240010504024131), we get a palindrome (371430909034173).

The spelling of 131420405010042 in words is "one hundred thirty-one trillion, four hundred twenty billion, four hundred five million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 97 107 194 214 291 321 582 642 691 873 963 1382 1746 1926 2073 4146 6219 10379 12438 20758 31137 62274 67027 73937 93411 134054 147874 186822 201081 221811 402162 443622 603243 665433 1018021 1206486 1330866 2036042 3054063 6108126 7171889 9162189 14343778 18324378 21515667 43031334 64547001 98748037 108928247 129094002 197496074 217856494 296244111 326784741 592488222 653569482 703452511 888732333 980354223 1406905022 1777464666 1960708446 2110357533 4220715066 6331072599 10566039959 12662145198 21132079918 31698119877 63396239754 68234893567 75269418677 95094359631 136469787134 150538837354 190188719262 204704680701 225808256031 409409361402 451616512062 614114042103 677424768093 1228228084206 1354849536186 7301133611669 14602267223338 21903400835007 43806801670014 65710202505021 131420405010042