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23112003000 = 2335379113863
BaseRepresentation
bin10101100001100101…
…010010110110111000
32012122201022101211010
4111201211102312320
5334313133044000
614341214233520
71445510532642
oct254145226670
965581271733
1023112003000
119890139a29
1245901b58a0
132244346128
141193725892
15904085d50
hex561952db8

23112003000 has 256 divisors, whose sum is σ = 73753804800. Its totient is φ = 6024345600.

The previous prime is 23112002993. The next prime is 23112003007. The reversal of 23112003000 is 30021132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23112002993) and next prime (23112003007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112003007) 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 63 ways as a sum of consecutive naturals, for example, 26780569 + ... + 26781431.

It is an arithmetic number, because the mean of its divisors is an integer number (288100800).

Almost surely, 223112003000 is an apocalyptic number.

23112003000 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 23112003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36876902400).

23112003000 is an abundant number, since it is smaller than the sum of its proper divisors (50641801800).

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

23112003000 is a wasteful number, since it uses less digits than its factorization.

23112003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23112003000 its reverse (30021132), we get a palindrome (23142024132).

The spelling of 23112003000 in words is "twenty-three billion, one hundred twelve million, three thousand".