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23105234304 = 273237542071
BaseRepresentation
bin10101100001001011…
…011110010110000000
32012122020120111220200
4111201023132112000
5334304414444204
614340413205200
71445366152065
oct254113362600
965566514820
1023105234304
119887336569
124589a90800
132242b16299
141192882c6c
1590369a539
hex5612de580

23105234304 has 96 divisors (see below), whose sum is σ = 68284809840. Its totient is φ = 7493575680.

The previous prime is 23105234303. The next prime is 23105234323. The reversal of 23105234304 is 40343250132.

23105234304 is a `hidden beast` number, since 2 + 310 + 5 + 2 + 343 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105234303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228412 + ... + 313659.

Almost surely, 223105234304 is an apocalyptic number.

23105234304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23105234304 is an abundant number, since it is smaller than the sum of its proper divisors (45179575536).

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

23105234304 is a wasteful number, since it uses less digits than its factorization.

23105234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542128 (or 542113 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23105234304 its reverse (40343250132), we get a palindrome (63448484436).

It can be divided in two parts, 231052 and 34304, that added together give a triangular number (265356 = T728).

The spelling of 23105234304 in words is "twenty-three billion, one hundred five million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 542071 1084142 1626213 2168284 3252426 4336568 4878639 6504852 8673136 9757278 13009704 17346272 19514556 20056627 26019408 34692544 39029112 40113254 52038816 60169881 69385088 78058224 80226508 104077632 120339762 156116448 160453016 180509643 208155264 240679524 312232896 320906032 361019286 481359048 624465792 641812064 722038572 962718096 1283624128 1444077144 1925436192 2567248256 2888154288 3850872384 5776308576 7701744768 11552617152 23105234304