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23013013032 = 2334231544083
BaseRepresentation
bin10101011011101011…
…101011011000101000
32012101211001012010000
4111123223223120220
5334112312404112
614323320423000
71443166245312
oct253353533050
965354035100
1023013013032
11983a278339
124563017a60
132229997299
1411845187b2
158ea5307dc
hex55baeb628

23013013032 has 80 divisors (see below), whose sum is σ = 67260299040. Its totient is φ = 7337477664.

The previous prime is 23013013031. The next prime is 23013013039. The reversal of 23013013032 is 23031031032.

23013013032 is a `hidden beast` number, since 2 + 301 + 301 + 30 + 32 = 666.

It is a super-2 number, since 2×230130130322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23013012996 and 23013013014.

It is not an unprimeable number, because it can be changed into a prime (23013013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 757138 + ... + 786945.

It is an arithmetic number, because the mean of its divisors is an integer number (840753738).

Almost surely, 223013013032 is an apocalyptic number.

It is an amenable number.

23013013032 is an abundant number, since it is smaller than the sum of its proper divisors (44247286008).

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

23013013032 is a wasteful number, since it uses less digits than its factorization.

23013013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544124 (or 1544111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23013013032 its reverse (23031031032), we get a palindrome (46044044064).

The spelling of 23013013032 in words is "twenty-three billion, thirteen million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 1544083 3088166 4632249 6176332 9264498 12352664 13896747 18528996 27793494 35513909 37057992 41690241 55586988 71027818 83380482 106541727 111173976 125070723 142055636 166760964 213083454 250141446 284111272 319625181 333521928 426166908 500282892 639250362 852333816 958875543 1000565784 1278500724 1917751086 2557001448 2876626629 3835502172 5753253258 7671004344 11506506516 23013013032