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12232013313 = 313233172889
BaseRepresentation
bin10110110010001010…
…11011011000000001
31011120110200122210010
423121011123120001
5200022343411223
65341434255133
7612056253252
oct133105333001
934513618703
1012232013313
11520771a713
1224545874a9
1311cc24a300
14840774b29
154b8d00393
hex2d915b601

12232013313 has 24 divisors (see below), whose sum is σ = 17714019360. Its totient is φ = 7504548480.

The previous prime is 12232013291. The next prime is 12232013329. The reversal of 12232013313 is 31331023221.

It is not a de Polignac number, because 12232013313 - 214 = 12231996929 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12232013313.

It is not an unprimeable number, because it can be changed into a prime (12232013393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131373 + ... + 204261.

It is an arithmetic number, because the mean of its divisors is an integer number (738084140).

Almost surely, 212232013313 is an apocalyptic number.

12232013313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12232013313 is a deficient number, since it is larger than the sum of its proper divisors (5482006047).

12232013313 is a wasteful number, since it uses less digits than its factorization.

12232013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73249 (or 73236 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12232013313 its reverse (31331023221), we get a palindrome (43563036534).

The spelling of 12232013313 in words is "twelve billion, two hundred thirty-two million, thirteen thousand, three hundred thirteen".

Divisors: 1 3 13 39 169 331 507 993 4303 12909 55939 72889 167817 218667 947557 2842671 12318241 24126259 36954723 72378777 313641367 940924101 4077337771 12232013313