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113430031204 = 2272531272677
BaseRepresentation
bin110100110100011110…
…1001110101101100100
3101211210010121121121211
41221220331032231210
53324301041444304
6124035315121204
711123621233300
oct1515075165544
9354703547554
10113430031204
1144118328346
1219b975a3204
13a909008c79
1456c096ad00
152e3d2d3204
hex1a68f4eb64

113430031204 has 108 divisors (see below), whose sum is σ = 237485312316. Its totient is φ = 47250193536.

The previous prime is 113430031189. The next prime is 113430031241. The reversal of 113430031204 is 402130034311.

It can be written as a sum of positive squares in 2 ways, for example, as 102425601600 + 11004429604 = 320040^2 + 104902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167547714 + ... + 167548390.

It is an arithmetic number, because the mean of its divisors is an integer number (2198938077).

Almost surely, 2113430031204 is an apocalyptic number.

113430031204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113430031204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742656158).

113430031204 is an abundant number, since it is smaller than the sum of its proper divisors (124055281112).

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

113430031204 is a wasteful number, since it uses less digits than its factorization.

113430031204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 113430031204 its reverse (402130034311), we get a palindrome (515560065515).

The spelling of 113430031204 in words is "one hundred thirteen billion, four hundred thirty million, thirty-one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 53 98 106 127 196 212 254 371 508 677 742 889 1354 1484 1778 2597 2708 3556 4739 5194 6223 6731 9478 10388 12446 13462 16129 18956 24892 26924 32258 33173 35881 47117 64516 66346 71762 85979 94234 112903 132692 143524 171958 188468 225806 251167 329819 343916 451612 502334 601853 659638 790321 854837 1004668 1203706 1319276 1580642 1709674 1758169 2407412 3161284 3419348 3516338 4212971 4556887 5983859 7032676 8425942 9113774 10919333 11967718 16851884 18227548 21838666 23935436 31898209 41887013 43677332 63796418 76435331 83774026 127592836 152870662 167548052 223287463 305741324 446574926 535047317 578724649 893149852 1070094634 1157449298 2140189268 2314898596 4051072543 8102145086 16204290172 28357507801 56715015602 113430031204