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131012143414032 = 24366114712807089
BaseRepresentation
bin11101110010011110100100…
…010001001111101100010000
3122011212122020112102001200010
4131302132210101033230100
5114133000332203222112
61142350051531554520
736411213021604116
oct3562364421175420
9564778215361603
10131012143414032
1138820a35528891
121283b0458bba40
1358145136197ca
14244d0432b5ab6
151022dd6e5d63c
hex7727a444fb10

131012143414032 has 80 divisors (see below), whose sum is σ = 339190610570240. Its totient is φ = 43574988441600.

The previous prime is 131012143414001. The next prime is 131012143414049. The reversal of 131012143414032 is 230414341210131.

131012143414032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 45268344 + ... + 48075432.

It is an arithmetic number, because the mean of its divisors is an integer number (4239882632128).

Almost surely, 2131012143414032 is an apocalyptic number.

131012143414032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131012143414032 is an abundant number, since it is smaller than the sum of its proper divisors (208178467156208).

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

131012143414032 is a wasteful number, since it uses less digits than its factorization.

131012143414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809232 (or 2809226 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131012143414032 its reverse (230414341210131), we get a palindrome (361426484624163).

The spelling of 131012143414032 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 661 1322 1471 1983 2644 2942 3966 4413 5288 5884 7932 8826 10576 11768 15864 17652 23536 31728 35304 70608 972331 1944662 2807089 2916993 3889324 5614178 5833986 7778648 8421267 11228356 11667972 15557296 16842534 22456712 23335944 33685068 44913424 46671888 67370136 134740272 1855485829 3710971658 4129227919 5566457487 7421943316 8258455838 11132914974 12387683757 14843886632 16516911676 22265829948 24775367514 29687773264 33033823352 44531659896 49550735028 66067646704 89063319792 99101470056 198202940112 2729419654459 5458839308918 8188258963377 10917678617836 16376517926754 21835357235672 32753035853508 43670714471344 65506071707016 131012143414032