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12241310432 = 2513731632473
BaseRepresentation
bin10110110011010001…
…11001001011100000
31011121010012000000212
423121220321023200
5200032233413212
65342405433252
7612231264461
oct133150711340
934533160025
1012241310432
11521199a78a
12245770b828
131201153c70
14841ab4d68
154b9a39e22
hex2d9a392e0

12241310432 has 96 divisors (see below), whose sum is σ = 26481577248. Its totient is φ = 5536014336.

The previous prime is 12241310423. The next prime is 12241310449. The reversal of 12241310432 is 23401314221.

It is a junction number, because it is equal to n+sod(n) for n = 12241310398 and 12241310407.

It is a congruent number.

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, 4948748 + ... + 4951220.

It is an arithmetic number, because the mean of its divisors is an integer number (275849763).

Almost surely, 212241310432 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 12241310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240788624).

12241310432 is an abundant number, since it is smaller than the sum of its proper divisors (14240266816).

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

12241310432 is a wasteful number, since it uses less digits than its factorization.

12241310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12241310432 its reverse (23401314221), we get a palindrome (35642624653).

The spelling of 12241310432 in words is "twelve billion, two hundred forty-one million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 163 208 292 326 416 584 652 949 1168 1304 1898 2119 2336 2473 2608 3796 4238 4946 5216 7592 8476 9892 11899 15184 16952 19784 23798 30368 32149 33904 39568 47596 64298 67808 79136 95192 128596 154687 180529 190384 257192 309374 361058 380768 403099 514384 618748 722116 806198 1028768 1237496 1444232 1612396 2346877 2474992 2888464 3224792 4693754 4949984 5240287 5776928 6449584 9387508 10480574 12899168 18775016 20961148 29426227 37550032 41922296 58852454 75100064 83844592 117704908 167689184 235409816 382540951 470819632 765081902 941639264 1530163804 3060327608 6120655216 12241310432