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23331000000 = 26356711101
BaseRepresentation
bin10101101110101000…
…101100111011000000
32020012222101121020010
4111232220230323000
5340240214000000
614415040144520
71454110141110
oct255650547300
966188347203
1023331000000
119992817690
124631608140
13227a822159
1411b4851040
159183e3d50
hex56ea2cec0

23331000000 has 784 divisors, whose sum is σ = 97153756416. Its totient is φ = 4800000000.

The previous prime is 23330999983. The next prime is 23331000001. The reversal of 23331000000 is 13332.

It is a happy number.

It is a super-2 number, since 2×233310000002 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23331000000.

It is not an unprimeable number, because it can be changed into a prime (23331000001) 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 111 ways as a sum of consecutive naturals, for example, 230999950 + ... + 231000050.

Almost surely, 223331000000 is an apocalyptic number.

23331000000 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 23331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48576878208).

23331000000 is an abundant number, since it is smaller than the sum of its proper divisors (73822756416).

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

23331000000 is an equidigital number, since it uses as much as digits as its factorization.

23331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 23331000000 its reverse (13332), we get a palindrome (23331013332).

The spelling of 23331000000 in words is "twenty-three billion, three hundred thirty-one million", and thus it is an aban number.