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131414120211012 = 22337295977748223
BaseRepresentation
bin11101111000010100111011…
…111101000010001001000100
3122020022001210222200010022220
4131320110323331002021010
5114211042104233223022
61143254451405452340
736452233256160462
oct3570247375021104
9566261728603286
10131414120211012
1138966462999aa1
12128a4b2ab710b0
1358433b5669bb2
142464697c13832
15102d5b218485c
hex77853bf42244

131414120211012 has 24 divisors (see below), whose sum is σ = 314920324110336. Its totient is φ = 42620795743968.

The previous prime is 131414120210969. The next prime is 131414120211041. The reversal of 131414120211012 is 210112021414131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147988873668 + ... + 147988874555.

It is an arithmetic number, because the mean of its divisors is an integer number (13121680171264).

Almost surely, 2131414120211012 is an apocalyptic number.

131414120211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131414120211012 is an abundant number, since it is smaller than the sum of its proper divisors (183506203899324).

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

131414120211012 is a wasteful number, since it uses less digits than its factorization.

131414120211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295977748267 (or 295977748265 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131414120211012 its reverse (210112021414131), we get a palindrome (341526141625143).

The spelling of 131414120211012 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 295977748223 591955496446 887933244669 1183910992892 1775866489338 3551732978676 10951176684251 21902353368502 32853530052753 43804706737004 65707060105506 131414120211012