Search a number
-
+
23321024100 = 223252113175989
BaseRepresentation
bin10101101110000010…
…101001011001100100
32020012021121202212100
4111232002221121210
5340230140232400
614414042252100
71453626301623
oct255602513144
966167552770
1023321024100
119988123640
12462a1b7030
13227873b55a
1411b33b56ba
159175c3100
hex56e0a9664

23321024100 has 216 divisors, whose sum is σ = 82317231360. Its totient is φ = 5471136000.

The previous prime is 23321024093. The next prime is 23321024107. The reversal of 23321024100 is 142012332.

23321024100 is a `hidden beast` number, since 233 + 21 + 0 + 2 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23321024093) and next prime (23321024107).

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

It is not an unprimeable number, because it can be changed into a prime (23321024107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268906 + ... + 344894.

Almost surely, 223321024100 is an apocalyptic number.

23321024100 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 23321024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41158615680).

23321024100 is an abundant number, since it is smaller than the sum of its proper divisors (58996207260).

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

23321024100 is a wasteful number, since it uses less digits than its factorization.

23321024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76051 (or 76041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23321024100 its reverse (142012332), we get a palindrome (23463036432).

The spelling of 23321024100 in words is "twenty-three billion, three hundred twenty-one million, twenty-four thousand, one hundred".