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13112330244 = 223131311973257
BaseRepresentation
bin11000011011000111…
…00100100000000100
31020211211011101120220
430031203210200010
5203323224031434
610005042424340
7642635653026
oct141543444004
936754141526
1013112330244
115619628872
12265b3620b0
13130c7418c0
148c564a016
1551b23ed49
hex30d8e4804

13112330244 has 96 divisors (see below), whose sum is σ = 33379226496. Its totient is φ = 3982218240.

The previous prime is 13112330243. The next prime is 13112330249. The reversal of 13112330244 is 44203321131.

It is a happy number.

It is a super-3 number, since 3×131123302443 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13112330243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4024264 + ... + 4027520.

It is an arithmetic number, because the mean of its divisors is an integer number (347700276).

Almost surely, 213112330244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112330244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689613248).

13112330244 is an abundant number, since it is smaller than the sum of its proper divisors (20266896252).

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

13112330244 is a wasteful number, since it uses less digits than its factorization.

13112330244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13112330244 its reverse (44203321131), we get a palindrome (57315651375).

The spelling of 13112330244 in words is "thirteen billion, one hundred twelve million, three hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 197 262 393 394 524 591 786 788 1182 1572 1703 2364 2561 3257 3406 5109 5122 6514 6812 7683 9771 10218 10244 13028 15366 19542 20436 25807 30732 39084 42341 51614 77421 84682 103228 127023 154842 169364 254046 309684 335491 426667 508092 641629 670982 853334 1006473 1280001 1283258 1341964 1706668 1924887 2012946 2560002 2566516 3849774 4025892 5120004 5546671 7699548 8341177 11093342 16640013 16682354 22186684 25023531 33280026 33364708 50047062 66560052 84053399 100094124 168106798 252160197 336213596 504320394 1008640788 1092694187 2185388374 3278082561 4370776748 6556165122 13112330244