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12334457031 = 3131921137753
BaseRepresentation
bin10110111110011000…
…01110000011000111
31011211121110100010220
423133030032003013
5200230110111111
65355534115423
7614442104061
oct133714160307
934747410126
1012334457031
11525a530146
12248294bb73
1312175381b0
14850200731
154c2cd8e06
hex2df30e0c7

12334457031 has 48 divisors (see below), whose sum is σ = 18860085216. Its totient is φ = 7126382592.

The previous prime is 12334457027. The next prime is 12334457033. The reversal of 12334457031 is 13075443321.

It is a happy number.

It is not a de Polignac number, because 12334457031 - 22 = 12334457027 is a prime.

It is a super-2 number, since 2×123344570312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12334456983 and 12334457001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334457033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587051 + ... + 1594803.

It is an arithmetic number, because the mean of its divisors is an integer number (392918442).

Almost surely, 212334457031 is an apocalyptic number.

12334457031 is a deficient number, since it is larger than the sum of its proper divisors (6525628185).

12334457031 is a wasteful number, since it uses less digits than its factorization.

12334457031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 12334457031 in words is "twelve billion, three hundred thirty-four million, four hundred fifty-seven thousand, thirty-one".

Divisors: 1 3 13 19 39 57 113 247 339 361 741 1083 1469 2147 4407 4693 6441 7753 14079 23259 27911 40793 83733 100789 122379 147307 302367 441921 530309 876089 1590927 1914991 2628267 2798833 5744973 8396499 11389157 16645691 34167471 36384829 49937073 109154487 216393983 316268129 649181949 948804387 4111485677 12334457031