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113031020058 = 231137714791361
BaseRepresentation
bin110100101000100101…
…1000111111000011010
3101210202022210202020020
41221101023013320122
53322441420120213
6123531543011310
711111004550425
oct1512113077032
9353668722206
10113031020058
1143a33078370
1219aa5a39b36
13a8744527b8
1456839829bc
152e18267923
hex1a512c7e1a

113031020058 has 128 divisors (see below), whose sum is σ = 257570979840. Its totient is φ = 32764032000.

The previous prime is 113031020057. The next prime is 113031020119. The reversal of 113031020058 is 850020130311.

It is a super-2 number, since 2×1130310200582 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113031020057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83049298 + ... + 83050658.

It is an arithmetic number, because the mean of its divisors is an integer number (2012273280).

Almost surely, 2113031020058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113031020058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128785489920).

113031020058 is an abundant number, since it is smaller than the sum of its proper divisors (144539959782).

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

113031020058 is a wasteful number, since it uses less digits than its factorization.

113031020058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 113031020058 its reverse (850020130311), we get a palindrome (963051150369).

The spelling of 113031020058 in words is "one hundred thirteen billion, thirty-one million, twenty thousand, fifty-eight".

Divisors: 1 2 3 6 11 22 33 37 66 71 74 111 142 213 222 407 426 479 781 814 958 1221 1361 1437 1562 2343 2442 2627 2722 2874 4083 4686 5254 5269 7881 8166 10538 14971 15762 15807 17723 28897 29942 31614 34009 35446 44913 50357 53169 57794 68018 86691 89826 96631 100714 102027 106338 151071 173382 193262 194953 204054 289893 302142 374099 389906 553927 579786 584859 651919 748198 1062941 1107854 1122297 1169718 1258333 1303838 1661781 1955757 2125882 2244594 2516666 3188823 3323562 3575347 3774999 3911514 6377646 7150694 7171109 7549998 10726041 13841663 14342218 21452082 21513327 24121003 27683326 39328817 41524989 43026654 46286249 48242006 72363009 78657634 83049978 92572498 117986451 138858747 144726018 235972902 265331033 277717494 509148739 530662066 795993099 1018297478 1527446217 1591986198 1712591213 3054892434 3425182426 5137773639 10275547278 18838503343 37677006686 56515510029 113031020058