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113431013332 = 2271335931253
BaseRepresentation
bin110100110100100000…
…0111110011111010100
3101211210012110111211221
41221221000332133110
53324301314411312
6124035352140124
711123632463530
oct1515100763724
9354705414757
10113431013332
114411893921a
1219b97997644
13a909291000
1456c0b44bc0
152e3d429207
hex1a6903e7d4

113431013332 has 96 divisors (see below), whose sum is σ = 249931987200. Its totient is φ = 44111822976.

The previous prime is 113431013317. The next prime is 113431013359. The reversal of 113431013332 is 233310134311.

It is a junction number, because it is equal to n+sod(n) for n = 113431013297 and 113431013306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3613818 + ... + 3645070.

It is an arithmetic number, because the mean of its divisors is an integer number (2603458200).

Almost surely, 2113431013332 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 113431013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124965993600).

113431013332 is an abundant number, since it is smaller than the sum of its proper divisors (136500973868).

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

113431013332 is a wasteful number, since it uses less digits than its factorization.

113431013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31362 (or 31334 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 113431013332 its reverse (233310134311), we get a palindrome (346741147643).

The spelling of 113431013332 in words is "one hundred thirteen billion, four hundred thirty-one million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 169 182 236 338 364 413 676 767 826 1183 1534 1652 2197 2366 3068 4394 4732 5369 8788 9971 10738 15379 19942 21476 30758 31253 39884 61516 62506 69797 125012 129623 139594 218771 259246 279188 406289 437542 518492 812578 875084 907361 1625156 1814722 1843927 2844023 3629444 3687854 5281757 5688046 7375708 10563514 11376092 12907489 21127028 23971051 25814978 36972299 47942102 51629956 68662841 73944598 95884204 137325682 147889196 167797357 274651364 311623663 335594714 480639887 623247326 671189428 961279774 1246494652 1922559548 2181365641 4051107619 4362731282 8102215238 8725462564 16204430476 28357753333 56715506666 113431013332