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230433555131130 = 2351317312107282097
BaseRepresentation
bin110100011001001111111110…
…001100101010101011111010
31010012220020021122210110111210
4310121033332030222223322
5220200410410103144010
62134031414103503550
766352163211561501
oct6431177614525372
91105806248713453
10230433555131130
116747235a53242a
1221a17697457bb6
139b76a38b01930
1440c908780b838
151b9918b537b20
hexd193fe32aafa

230433555131130 has 128 divisors (see below), whose sum is σ = 599076384092928. Its totient is φ = 56389374554112.

The previous prime is 230433555131077. The next prime is 230433555131147. The reversal of 230433555131130 is 31131555334032.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816718242 + ... + 817000338.

It is an arithmetic number, because the mean of its divisors is an integer number (4680284250726).

Almost surely, 2230433555131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230433555131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299538192046464).

230433555131130 is an abundant number, since it is smaller than the sum of its proper divisors (368642828961798).

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

230433555131130 is a wasteful number, since it uses less digits than its factorization.

230433555131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294400.

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 230433555131130 in words is "two hundred thirty trillion, four hundred thirty-three billion, five hundred fifty-five million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 173 195 346 390 519 865 1038 1730 2249 2595 4498 5190 6747 11245 12107 13494 22490 24214 33735 36321 60535 67470 72642 121070 157391 181605 282097 314782 363210 472173 564194 786955 846291 944346 1410485 1573910 1692582 2094511 2360865 2820970 3667261 4189022 4231455 4721730 6283533 7334522 8462910 10472555 11001783 12567066 18336305 20945110 22003566 27228643 31417665 36672610 48802781 54457286 55008915 62835330 81685929 97605562 110017830 136143215 146408343 163371858 244013905 272286430 292816686 408429645 488027810 634436153 732041715 816859290 1268872306 1464083430 1903308459 3172180765 3415348379 3806616918 6344361530 6830696758 9516542295 10246045137 17076741895 19033084590 20492090274 34153483790 44399528927 51230225685 88799057854 102460451370 133198586781 221997644635 266397173562 443995289270 590855269567 665992933905 1181710539134 1331985867810 1772565808701 2954276347835 3545131617402 5908552695670 7681118504371 8862829043505 15362237008742 17725658087010 23043355513113 38405592521855 46086711026226 76811185043710 115216777565565 230433555131130