Search a number
-
+
23013021312 = 27321719232689
BaseRepresentation
bin10101011011101011…
…101101011010000000
32012101211001121110200
4111123223231122000
5334112313140222
614323320525200
71443166311411
oct253353553200
965354047420
1023013021312
11983a283586
124563020800
13222999ac98
14118451b808
158ea532eac
hex55baed680

23013021312 has 384 divisors, whose sum is σ = 77045904000. Its totient is φ = 6539968512.

The previous prime is 23013021259. The next prime is 23013021359. The reversal of 23013021312 is 21312031032.

23013021312 is a `hidden beast` number, since 2 + 301 + 30 + 21 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 8556864 + ... + 8559552.

It is an arithmetic number, because the mean of its divisors is an integer number (200640375).

Almost surely, 223013021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38522952000).

23013021312 is an abundant number, since it is smaller than the sum of its proper divisors (54032882688).

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

23013021312 is a wasteful number, since it uses less digits than its factorization.

23013021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23013021312 its reverse (21312031032), we get a palindrome (44325052344).

The spelling of 23013021312 in words is "twenty-three billion, thirteen million, twenty-one thousand, three hundred twelve".