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113530052224 = 2741167129539
BaseRepresentation
bin110100110111011101…
…0110001111010000000
3101212001002211012200001
41221232322301322000
53330002143132344
6124053251005344
711126244343621
oct1515672617200
9355032735601
10113530052224
1144169833646
121a004b99854
13a9239591c4
1456cdd65a48
152e46e8ded4
hex1a6eeb1e80

113530052224 has 64 divisors (see below), whose sum is σ = 233078731200. Its totient is φ = 55048468480.

The previous prime is 113530052203. The next prime is 113530052299. The reversal of 113530052224 is 422250035311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 113530052192 and 113530052201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811647 + ... + 941185.

It is an arithmetic number, because the mean of its divisors is an integer number (3641855175).

Almost surely, 2113530052224 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 113530052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116539365600).

113530052224 is an abundant number, since it is smaller than the sum of its proper divisors (119548678976).

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

113530052224 is a wasteful number, since it uses less digits than its factorization.

113530052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129761 (or 129749 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 113530052224 its reverse (422250035311), we get a palindrome (535780087535).

The spelling of 113530052224 in words is "one hundred thirteen billion, five hundred thirty million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 167 328 334 656 668 1312 1336 2624 2672 5248 5344 6847 10688 13694 21376 27388 54776 109552 129539 219104 259078 438208 518156 876416 1036312 2072624 4145248 5311099 8290496 10622198 16580992 21244396 21633013 42488792 43266026 84977584 86532052 169955168 173064104 339910336 346128208 679820672 692256416 886953533 1384512832 1773907066 2769025664 3547814132 7095628264 14191256528 28382513056 56765026112 113530052224