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23009112000 = 263253771643
BaseRepresentation
bin10101011011011100…
…110010111111000000
32012101112200222220100
4111123130302333000
5334110313041000
614323101042400
71443121140120
oct253334627700
965345628810
1023009112000
119838053446
124561856400
132228c2c794
141183bc0c80
158ea00ea00
hex55b732fc0

23009112000 has 672 divisors, whose sum is σ = 95538852864. Its totient is φ = 5177088000.

The previous prime is 23009111999. The next prime is 23009112023. The reversal of 23009112000 is 21190032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35783679 + ... + 35784321.

It is an arithmetic number, because the mean of its divisors is an integer number (142170912).

Almost surely, 223009112000 is an apocalyptic number.

23009112000 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 23009112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47769426432).

23009112000 is an abundant number, since it is smaller than the sum of its proper divisors (72529740864).

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

23009112000 is a wasteful number, since it uses less digits than its factorization.

23009112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 23009112000 in words is "twenty-three billion, nine million, one hundred twelve thousand".