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113312230212033 = 321923233953129749
BaseRepresentation
bin11001110000111010001111…
…001110110000000111000001
3112212012112200011001020012100
4121300322033032300013001
5104323001421413241113
61040554530412221013
732603352461011206
oct3160721716600701
9485175604036170
10113312230212033
11331174a0a02516
121086080476a769
134b2c3b36993c8
141dda4ac3a1cad
15d177a01abd73
hex670e8f3b01c1

113312230212033 has 96 divisors (see below), whose sum is σ = 180740795040000. Its totient is φ = 68088229558272.

The previous prime is 113312230212023. The next prime is 113312230212053. The reversal of 113312230212033 is 330212032213311.

113312230212033 is a `hidden beast` number, since 1 + 1 + 3 + 312 + 2 + 302 + 12 + 0 + 33 = 666.

It is not a de Polignac number, because 113312230212033 - 25 = 113312230212001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113312230211988 and 113312230212006.

It is not an unprimeable number, because it can be changed into a prime (113312230212023) 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, 873253843 + ... + 873383591.

It is an arithmetic number, because the mean of its divisors is an integer number (1882716615000).

Almost surely, 2113312230212033 is an apocalyptic number.

It is an amenable number.

113312230212033 is a deficient number, since it is larger than the sum of its proper divisors (67428564827967).

113312230212033 is a wasteful number, since it uses less digits than its factorization.

113312230212033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130983 (or 130980 counting only the distinct ones).

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

Adding to 113312230212033 its reverse (330212032213311), we get a palindrome (443524262425344).

The spelling of 113312230212033 in words is "one hundred thirteen trillion, three hundred twelve billion, two hundred thirty million, two hundred twelve thousand, thirty-three".

Divisors: 1 3 9 19 23 57 69 171 207 233 437 699 953 1311 2097 2859 3933 4427 5359 8577 13281 16077 18107 21919 39843 48231 54321 65757 101821 129749 162963 197271 222049 305463 389247 416461 666147 916389 1167741 1249383 1998441 2465231 2984227 3748149 4218931 5107127 7395693 8952681 12656793 15321381 22187079 26858043 30231517 37970379 45964143 56700313 90694551 97035413 123650797 170100939 272083653 291106239 370952391 510302817 574398823 695324891 873318717 1112857173 1723196469 2085974673 2349365143 2843968331 5169589407 6257924019 7048095429 8531904993 13211172929 21144286287 25595714979 28810635701 39633518787 54035398289 86431907103 118900556361 162106194867 259295721309 486318584601 547402078319 662644621123 1642206234957 1987933863369 4926618704871 5963801590107 12590247801337 37770743404011 113312230212033