Search a number
-
+
231312104233002 = 2321312313433233911
BaseRepresentation
bin110100100110000010001011…
…110011100001100000101010
31010100000012222020221000102200
4310212002023303201200222
5220304304142140424002
62135543151432041030
766502514401664442
oct6446021363414052
91110005866830380
10231312104233002
1167780a045aaa41
1221b39a03833176
139c0b83a4234c0
1441197cbd4b122
151bb1e5a74cb1c
hexd2608bce182a

231312104233002 has 96 divisors (see below), whose sum is σ = 540326345534976. Its totient is φ = 71094118867200.

The previous prime is 231312104232991. The next prime is 231312104233027. The reversal of 231312104233002 is 200332401213132.

231312104233002 is a `hidden beast` number, since 2 + 3 + 1 + 312 + 1 + 0 + 42 + 3 + 300 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988772427 + ... + 989006337.

It is an arithmetic number, because the mean of its divisors is an integer number (5628399432656).

Almost surely, 2231312104233002 is an apocalyptic number.

231312104233002 is an abundant number, since it is smaller than the sum of its proper divisors (309014241301974).

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

231312104233002 is a wasteful number, since it uses less digits than its factorization.

231312104233002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238596 (or 238593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 231312104233002 its reverse (200332401213132), we get a palindrome (431644505446134).

The spelling of 231312104233002 in words is "two hundred thirty-one trillion, three hundred twelve billion, one hundred four million, two hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1231 2462 3433 3693 6866 7386 10299 11079 16003 20598 22158 30897 32006 44629 48009 61794 89258 96018 133887 144027 233911 267774 288054 401661 467822 701733 803322 1403466 2105199 3040843 4210398 4226023 6081686 8452046 9122529 12678069 18245058 25356138 27367587 38034207 54735174 54938299 76068414 109876598 164814897 287944441 329629794 494444691 575888882 803016463 863833323 988889382 1606032926 1727666646 2409049389 2591499969 3743277733 4818098778 5182999938 7227148167 7486555466 10439214019 11229833199 14454296334 20878428038 22459666398 31317642057 33689499597 62635284114 67378999194 93952926171 187905852342 988513265953 1977026531906 2965539797859 5931079595718 8896619393577 12850672457389 17793238787154 25701344914778 38552017372167 77104034744334 115656052116501 231312104233002