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23132330100 = 2232521117137447
BaseRepresentation
bin10101100010110010…
…110101100001110100
32012201010120010100200
4111202302311201310
5334333334030400
614343222040500
71446145363425
oct254262654164
965633503320
1023132330100
1198a0662a90
124596b79130
1322486123b9
1411962d764c
15905c4db00
hex562cb5874

23132330100 has 216 divisors, whose sum is σ = 83752014528. Its totient is φ = 5277926400.

The previous prime is 23132330077. The next prime is 23132330101. The reversal of 23132330100 is 103323132.

23132330100 is a `hidden beast` number, since 231 + 3 + 2 + 330 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132330101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 99577 + ... + 237023.

It is an arithmetic number, because the mean of its divisors is an integer number (387740808).

Almost surely, 223132330100 is an apocalyptic number.

23132330100 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 23132330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41876007264).

23132330100 is an abundant number, since it is smaller than the sum of its proper divisors (60619684428).

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

23132330100 is a wasteful number, since it uses less digits than its factorization.

23132330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137495 (or 137485 counting only the distinct ones).

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

Adding to 23132330100 its reverse (103323132), we get a palindrome (23235653232).

The spelling of 23132330100 in words is "twenty-three billion, one hundred thirty-two million, three hundred thirty thousand, one hundred".