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12131613114024 = 2332272122247431
BaseRepresentation
bin1011000010001001110001…
…1111010111111010101000
31120221202210222101000212010
42300202130133113322220
53042231020424122044
641445104111515520
72361323453016135
oct260423437277250
946852728330763
1012131613114024
113957a96372418
12143b230828ba0
136a001083c251
142dd25d3d358c
151608876c3bb9
hexb089c7d7ea8

12131613114024 has 32 divisors (see below), whose sum is σ = 30330368994240. Its totient is φ = 4043692876800.

The previous prime is 12131613114017. The next prime is 12131613114037. The reversal of 12131613114024 is 42041131613121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12131613113982 and 12131613114000.

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, 10578412 + ... + 11669019.

It is an arithmetic number, because the mean of its divisors is an integer number (947824031070).

Almost surely, 212131613114024 is an apocalyptic number.

It is an amenable number.

12131613114024 is an abundant number, since it is smaller than the sum of its proper divisors (18198755880216).

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

12131613114024 is a wasteful number, since it uses less digits than its factorization.

12131613114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22270161 (or 22270157 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 12131613114024 its reverse (42041131613121), we get a palindrome (54172744727145).

The spelling of 12131613114024 in words is "twelve trillion, one hundred thirty-one billion, six hundred thirteen million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 22721 45442 68163 90884 136326 181768 272652 545304 22247431 44494862 66742293 88989724 133484586 177979448 266969172 533938344 505483879751 1010967759502 1516451639253 2021935519004 3032903278506 4043871038008 6065806557012 12131613114024