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23122231020 = 223257315091163
BaseRepresentation
bin10101100010001100…
…010011111011101100
32012200102120001000200
4111202030103323230
5334323242343040
614342221353500
71445663502150
oct254214237354
965612501020
1023122231020
119895995439
124593708890
1322464b7705
141194c29060
15904e06630
hex562313eec

23122231020 has 288 divisors, whose sum is σ = 82976624640. Its totient is φ = 5100157440.

The previous prime is 23122231003. The next prime is 23122231021. The reversal of 23122231020 is 2013222132.

23122231020 is a `hidden beast` number, since 2 + 312 + 22 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23122230984 and 23122231002.

It is not an unprimeable number, because it can be changed into a prime (23122231021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19880959 + ... + 19882121.

It is an arithmetic number, because the mean of its divisors is an integer number (288113280).

Almost surely, 223122231020 is an apocalyptic number.

23122231020 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 23122231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41488312320).

23122231020 is an abundant number, since it is smaller than the sum of its proper divisors (59854393620).

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

23122231020 is a wasteful number, since it uses less digits than its factorization.

23122231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1720 counting only the distinct ones).

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

Adding to 23122231020 its reverse (2013222132), we get a palindrome (25135453152).

The spelling of 23122231020 in words is "twenty-three billion, one hundred twenty-two million, two hundred thirty-one thousand, twenty".