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131000331414340 = 2257210190845017
BaseRepresentation
bin11101110010010011100100…
…001110000010101101000100
3122011211111202100001022021001
4131302103210032002231010
5114132302134320224330
61142340415455503044
736410314222346203
oct3562234416025504
9564744670038231
10131000331414340
1138816a23a03673
12128388a9b27a84
1358133803ca48b
14244c64263523a
151022944e769ca
hex7724e4382b44

131000331414340 has 24 divisors (see below), whose sum is σ = 275104514489112. Its totient is φ = 52399405228800.

The previous prime is 131000331414311. The next prime is 131000331414361. The reversal of 131000331414340 is 43414133000131.

It can be written as a sum of positive squares in 4 ways, for example, as 16316493839424 + 114683837574916 = 4039368^2 + 10709054^2 .

It is a super-2 number, since 2×1310003314143402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131000331414299 and 131000331414308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43980489 + ... + 46864528.

It is an arithmetic number, because the mean of its divisors is an integer number (11462688103713).

Almost surely, 2131000331414340 is an apocalyptic number.

131000331414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000331414340 is an abundant number, since it is smaller than the sum of its proper divisors (144104183074772).

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

131000331414340 is a wasteful number, since it uses less digits than its factorization.

131000331414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90917127 (or 90917125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131000331414340 its reverse (43414133000131), we get a palindrome (174414464414471).

The spelling of 131000331414340 in words is "one hundred thirty-one trillion, three hundred thirty-one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 72101 144202 288404 360505 721010 1442020 90845017 181690034 363380068 454225085 908450170 1816900340 6550016570717 13100033141434 26200066282868 32750082853585 65500165707170 131000331414340