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23013013320 = 233251197181331
BaseRepresentation
bin10101011011101011…
…101011011101001000
32012101211001012111200
4111123223223131020
5334112312411240
614323320424200
71443166246203
oct253353533510
965354035450
1023013013320
11983a278580
124563018060
13222999745b
14118451893a
158ea530930
hex55baeb748

23013013320 has 384 divisors, whose sum is σ = 83138590080. Its totient is φ = 5474304000.

The previous prime is 23013013319. The next prime is 23013013357. The reversal of 23013013320 is 2331031032.

23013013320 is a `hidden beast` number, since 2 + 30 + 1 + 301 + 332 + 0 = 666.

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 = 23013013293 and 23013013302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69525555 + ... + 69525885.

It is an arithmetic number, because the mean of its divisors is an integer number (216506745).

Almost surely, 223013013320 is an apocalyptic number.

23013013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41569295040).

23013013320 is an abundant number, since it is smaller than the sum of its proper divisors (60125576760).

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

23013013320 is a wasteful number, since it uses less digits than its factorization.

23013013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

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

Adding to 23013013320 its reverse (2331031032), we get a palindrome (25344044352).

The spelling of 23013013320 in words is "twenty-three billion, thirteen million, thirteen thousand, three hundred twenty".