Search a number
-
+
131222157378024 = 23383192407342371
BaseRepresentation
bin11101110101100010001010…
…000100111100000111101000
3122012121201022202201211021210
4131311202022010330013220
5114144420434242044044
61143030343224033120
736432326250052326
oct3565421204740750
9565551282654253
10131222157378024
11388a2005981389
12128738970027a0
13582b2724a505b
142459287312d16
1510285c95ed1b9
hex77588a13c1e8

131222157378024 has 64 divisors (see below), whose sum is σ = 332010563351040. Its totient is φ = 43213371696320.

The previous prime is 131222157377953. The next prime is 131222157378029. The reversal of 131222157378024 is 420873751222131.

It is not an unprimeable number, because it can be changed into a prime (131222157378029) 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, 383103559 + ... + 383445929.

It is an arithmetic number, because the mean of its divisors is an integer number (5187665052360).

Almost surely, 2131222157378024 is an apocalyptic number.

It is an amenable number.

131222157378024 is an abundant number, since it is smaller than the sum of its proper divisors (200788405973016).

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

131222157378024 is a wasteful number, since it uses less digits than its factorization.

131222157378024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534870 (or 534866 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 131222157378024 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, one hundred fifty-seven million, three hundred seventy-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 192407 342371 384814 577221 684742 769628 1027113 1154442 1369484 1539256 2054226 2308884 2738968 4108452 4617768 8216904 15969781 28416793 31939562 47909343 56833586 63879124 85250379 95818686 113667172 127758248 170500758 191637372 227334344 341001516 383274744 682003032 65874576997 131749153994 197623730991 263498307988 395247461982 526996615976 790494923964 1580989847928 5467589890751 10935179781502 16402769672253 21870359563004 32805539344506 43740719126008 65611078689012 131222157378024