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23234331120000 = 2735471113175689
BaseRepresentation
bin1010100100001101010100…
…00011011001000110000000
310001021011212111002001200020
411102012222003121012000
511021132402231320000
6121225412050453440
74615424245646610
oct522065203310600
9101234774061606
1023234331120000
117448696221560
122732b76594280
13cc6cac8c20a0
145a4794988a40
152a45a1a07ba0
hex1521aa0d9180

23234331120000 has 2560 divisors, whose sum is σ = 109656718617600. Its totient is φ = 4193648640000.

The previous prime is 23234331119981. The next prime is 23234331120001. The reversal of 23234331120000 is 2113343232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234331120001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4084077156 + ... + 4084082844.

It is an arithmetic number, because the mean of its divisors is an integer number (42834655710).

Almost surely, 223234331120000 is an apocalyptic number.

23234331120000 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 23234331120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54828359308800).

23234331120000 is an abundant number, since it is smaller than the sum of its proper divisors (86422387497600).

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

23234331120000 is a wasteful number, since it uses less digits than its factorization.

23234331120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23234331120000 its reverse (2113343232), we get a palindrome (23236444463232).

The spelling of 23234331120000 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred thirty-one million, one hundred twenty thousand".