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23307102000 = 2435537131731
BaseRepresentation
bin10101101101001101…
…100010011100110000
32020011022102110100000
4111231031202130300
5340213104231000
614412424030000
71453400045460
oct255515423460
966138373300
1023307102000
119980284776
124625602300
1322758a5720
1411b15cdba0
15916273000
hex56d362730

23307102000 has 1920 divisors, whose sum is σ = 113560731648. Its totient is φ = 4478976000.

The previous prime is 23307101933. The next prime is 23307102029. The reversal of 23307102000 is 20170332.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 751841985 + ... + 751842015.

Almost surely, 223307102000 is an apocalyptic number.

23307102000 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 23307102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56780365824).

23307102000 is an abundant number, since it is smaller than the sum of its proper divisors (90253629648).

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

23307102000 is a wasteful number, since it uses less digits than its factorization.

23307102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 23307102000 its reverse (20170332), we get a palindrome (23327272332).

The spelling of 23307102000 in words is "twenty-three billion, three hundred seven million, one hundred two thousand".