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230130231122133 = 3217131383184716231
BaseRepresentation
bin110100010100110101011110…
…101011011001100011010101
31010011211020100111011021122100
4310110311132223121203111
5220130423203131402013
62133240211345352313
766321234442206606
oct6424653653314325
91104736314137570
10230130231122133
1167365756a92a61
1221988944938699
139b542594358c4
1440b851103ddad
151b91337132473
hexd14d5ead98d5

230130231122133 has 96 divisors (see below), whose sum is σ = 355791045722112. Its totient is φ = 142832870668800.

The previous prime is 230130231122111. The next prime is 230130231122137. The reversal of 230130231122133 is 331221132031032.

230130231122133 is a `hidden beast` number, since 2 + 3 + 0 + 130 + 2 + 311 + 2 + 213 + 3 = 666.

It is not a de Polignac number, because 230130231122133 - 26 = 230130231122069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230130231122097 and 230130231122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230130231122137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14178430128 + ... + 14178446358.

It is an arithmetic number, because the mean of its divisors is an integer number (3706156726272).

Almost surely, 2230130231122133 is an apocalyptic number.

It is an amenable number.

230130231122133 is a deficient number, since it is larger than the sum of its proper divisors (125660814599979).

230130231122133 is a wasteful number, since it uses less digits than its factorization.

230130231122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230130231122133 its reverse (331221132031032), we get a palindrome (561351363153165).

The spelling of 230130231122133 in words is "two hundred thirty trillion, one hundred thirty billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 131 153 383 393 1149 1179 1847 2227 3447 5541 6511 6681 16231 16623 19533 20043 31399 48693 50173 58599 94197 146079 150519 241957 275927 282591 451557 707401 725871 827781 852941 2122203 2126261 2177613 2483343 2558823 4113269 6216473 6366609 6378783 7676469 12025817 12339807 18649419 19136349 29978657 36077451 36146437 37019421 55948257 89935971 92669531 105680041 108232353 108439311 269807913 278008593 317040123 325317933 509637169 814357963 834025779 951120369 1528911507 1575382027 2443073889 3927204067 4586734521 4726146081 7329221667 11481825631 11781612201 13844085371 14178438243 34445476893 35344836603 41532256113 66762469139 103336430679 124596768339 195191035727 200287407417 585573107181 600862222251 1504119157661 1756719321543 4512357472983 13537072418949 25570025680237 76710077040711 230130231122133