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BaseRepresentation
bin10101011011101011…
…101000001101000000
32012101211000112020100
4111123223220031000
5334112312000000
614323320242400
71443166162314
oct253353501500
965354015210
1023013000000
11983a269571
124563010400
132229991383
141184513b44
158ea52ba00
hex55bae8340

23013000000 has 294 divisors, whose sum is σ = 82484451998. Its totient is φ = 6134400000.

The previous prime is 23012999993. The next prime is 23013000019. The reversal of 23013000000 is 31032.

Adding to 23013000000 its reverse (31032), we get a palindrome (23013031032).

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 22905006336 + 107993664 = 151344^2 + 10392^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8998722 + ... + 9001278.

Almost surely, 223013000000 is an apocalyptic number.

23013000000 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 23013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41242225999).

23013000000 is an abundant number, since it is smaller than the sum of its proper divisors (59471451998).

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

23013000000 is an frugal number, since it uses more digits than its factorization.

23013000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The spelling of 23013000000 in words is "twenty-three billion, thirteen million", and thus it is an aban number and an uban number.