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23023100100 = 223527111376667
BaseRepresentation
bin10101011100010010…
…001010000011000100
32012102112000122222010
4111130102022003010
5334122403200400
614324320534220
71443351056550
oct253422120304
965375018863
1023023100100
119844a37960
124566481370
13222bab9670
1411859c2860
158eb374450
hex55c48a0c4

23023100100 has 288 divisors, whose sum is σ = 89440275456. Its totient is φ = 4415961600.

The previous prime is 23023100077. The next prime is 23023100123. The reversal of 23023100100 is 100132032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23023100077) and next prime (23023100123).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261967 + ... + 338633.

It is an arithmetic number, because the mean of its divisors is an integer number (310556512).

Almost surely, 223023100100 is an apocalyptic number.

23023100100 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 23023100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44720137728).

23023100100 is an abundant number, since it is smaller than the sum of its proper divisors (66417175356).

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

23023100100 is a wasteful number, since it uses less digits than its factorization.

23023100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76715 (or 76708 counting only the distinct ones).

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

Adding to 23023100100 its reverse (100132032), we get a palindrome (23123232132).

The spelling of 23023100100 in words is "twenty-three billion, twenty-three million, one hundred thousand, one hundred".