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23130020100 = 2235211291012393
BaseRepresentation
bin10101100010101010…
…000001100100000100
32012200222012202122010
4111202222001210010
5334332241120400
614343100334220
71446116632635
oct254252014404
965628182563
1023130020100
11989a3254a0
124596244370
132247cb3b35
141195c9588c
15905944450
hex562a81904

23130020100 has 288 divisors, whose sum is σ = 76303866240. Its totient is φ = 5358080000.

The previous prime is 23130020087. The next prime is 23130020119. The reversal of 23130020100 is 102003132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9664504 + ... + 9666896.

It is an arithmetic number, because the mean of its divisors is an integer number (264943980).

Almost surely, 223130020100 is an apocalyptic number.

23130020100 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 23130020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38151933120).

23130020100 is an abundant number, since it is smaller than the sum of its proper divisors (53173846140).

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

23130020100 is a wasteful number, since it uses less digits than its factorization.

23130020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23130020100 its reverse (102003132), we get a palindrome (23232023232).

The spelling of 23130020100 in words is "twenty-three billion, one hundred thirty million, twenty thousand, one hundred".