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131343214214232 = 23335931025413889
BaseRepresentation
bin11101110111010010111001…
…101000000111110001011000
3122020001021210102112021112000
4131313102321220013301120
5114203411400314323412
61143202123432121000
736444143201145006
oct3567227150076130
9566037712467460
10131343214214232
113893938734a159
1212893240836160
1358397c5609497
14246108cb5da76
15102b8122604dc
hex7774b9a07c58

131343214214232 has 64 divisors (see below), whose sum is σ = 365457510396000. Its totient is φ = 43707241562112.

The previous prime is 131343214214227. The next prime is 131343214214243. The reversal of 131343214214232 is 232412412343131.

131343214214232 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 432 + 1 + 4 + 214 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512578857 + ... + 512835032.

Almost surely, 2131343214214232 is an apocalyptic number.

131343214214232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131343214214232 is an abundant number, since it is smaller than the sum of its proper divisors (234114296181768).

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

131343214214232 is a wasteful number, since it uses less digits than its factorization.

131343214214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025414497 (or 1025414487 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131343214214232 its reverse (232412412343131), we get a palindrome (363755626557363).

The spelling of 131343214214232 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred fourteen million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 593 1186 1779 2372 3558 4744 5337 7116 10674 14232 16011 21348 32022 42696 64044 128088 1025413889 2050827778 3076241667 4101655556 6152483334 8203311112 9228725001 12304966668 18457450002 24609933336 27686175003 36914900004 55372350006 73829800008 110744700012 221489400024 608070436177 1216140872354 1824211308531 2432281744708 3648422617062 4864563489416 5472633925593 7296845234124 10945267851186 14593690468248 16417901776779 21890535702372 32835803553558 43781071404744 65671607107116 131343214214232