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12131313424 = 2417431516869
BaseRepresentation
bin10110100110001010…
…10010011100010000
31011022110012120111121
423103011102130100
5144321104012144
65323440052024
7606424314466
oct132305223420
934273176447
1012131313424
1151658a036a
122426904014
1311b4420089
14831240836
154b005d384
hex2d3152710

12131313424 has 80 divisors (see below), whose sum is σ = 25638180480. Its totient is φ = 5538355200.

The previous prime is 12131313353. The next prime is 12131313443. The reversal of 12131313424 is 42431313121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762662 + ... + 1769530.

It is an arithmetic number, because the mean of its divisors is an integer number (320477256).

Almost surely, 212131313424 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 12131313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819090240).

12131313424 is an abundant number, since it is smaller than the sum of its proper divisors (13506867056).

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

12131313424 is a wasteful number, since it uses less digits than its factorization.

12131313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7082 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

Adding to 12131313424 its reverse (42431313121), we get a palindrome (54562626545).

The spelling of 12131313424 in words is "twelve billion, one hundred thirty-one million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 43 68 86 136 151 172 272 302 344 604 688 731 1208 1462 2416 2567 2924 5134 5848 6493 6869 10268 11696 12986 13738 20536 25972 27476 41072 51944 54952 103888 109904 110381 116773 220762 233546 295367 441524 467092 590734 883048 934184 1037219 1181468 1766096 1868368 2074438 2362936 4148876 4725872 5021239 8297752 10042478 16595504 17632723 20084956 35265446 40169912 44600417 70530892 80339824 89200834 141061784 178401668 282123568 356803336 713606672 758207089 1516414178 3032828356 6065656712 12131313424