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23122320000 = 27354137411
BaseRepresentation
bin10101100010001100…
…101001101010000000
32012200102201120002020
4111202030221222000
5334323303220000
614342223321440
71445664322443
oct254214515200
965612646066
1023122320000
119895a4627a
124593750280
132246519070
141194c4d65a
15904e22ba0
hex562329a80

23122320000 has 320 divisors, whose sum is σ = 82663664160. Its totient is φ = 5690880000.

The previous prime is 23122319999. The next prime is 23122320029. The reversal of 23122320000 is 2322132.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 3116295 + ... + 3123705.

Almost surely, 223122320000 is an apocalyptic number.

23122320000 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 23122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41331832080).

23122320000 is an abundant number, since it is smaller than the sum of its proper divisors (59541344160).

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

23122320000 is an equidigital number, since it uses as much as digits as its factorization.

23122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23122320000 its reverse (2322132), we get a palindrome (23124642132).

The spelling of 23122320000 in words is "twenty-three billion, one hundred twenty-two million, three hundred twenty thousand".