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23112112000 = 275317312741
BaseRepresentation
bin10101100001100101…
…101101011110000000
32012122201111221100011
4111201211231132000
5334313200041000
614341220434304
71445511465505
oct254145553600
965581457304
1023112112000
11989020390a
124590248994
132244383923
1411937534ac
159040a82ba
hex56196d780

23112112000 has 256 divisors, whose sum is σ = 62828213760. Its totient is φ = 8417280000.

The previous prime is 23112111977. The next prime is 23112112003. The reversal of 23112112000 is 21121132.

It is a super-2 number, since 2×231121120002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8430630 + ... + 8433370.

It is an arithmetic number, because the mean of its divisors is an integer number (245422710).

Almost surely, 223112112000 is an apocalyptic number.

23112112000 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 23112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31414106880).

23112112000 is an abundant number, since it is smaller than the sum of its proper divisors (39716101760).

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

23112112000 is a wasteful number, since it uses less digits than its factorization.

23112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 23112112000 its reverse (21121132), we get a palindrome (23133233132).

The spelling of 23112112000 in words is "twenty-three billion, one hundred twelve million, one hundred twelve thousand".