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23013103032 = 2332319626431
BaseRepresentation
bin10101011011101100…
…000001010110111000
32012101211012202120100
4111123230001112320
5334112323244112
614323322355400
71443200101563
oct253354012670
965354182510
1023013103032
11983a329a17
12456305bb60
1322299c923a
14118453d4da
158ea54c2dc
hex55bb015b8

23013103032 has 24 divisors (see below), whose sum is σ = 62327154240. Its totient is φ = 7671034320.

The previous prime is 23013103019. The next prime is 23013103037. The reversal of 23013103032 is 23030131032.

23013103032 is a `hidden beast` number, since 230 + 131 + 0 + 303 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×230131030322 (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 = 23013102996 and 23013103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013103037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159813144 + ... + 159813287.

It is an arithmetic number, because the mean of its divisors is an integer number (2596964760).

Almost surely, 223013103032 is an apocalyptic number.

It is an amenable number.

23013103032 is an abundant number, since it is smaller than the sum of its proper divisors (39314051208).

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

23013103032 is a wasteful number, since it uses less digits than its factorization.

23013103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319626443 (or 319626436 counting only the distinct ones).

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

Adding to 23013103032 its reverse (23030131032), we get a palindrome (46043234064).

The spelling of 23013103032 in words is "twenty-three billion, thirteen million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 319626431 639252862 958879293 1278505724 1917758586 2557011448 2876637879 3835517172 5753275758 7671034344 11506551516 23013103032