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23120143200 = 25335271113901
BaseRepresentation
bin10101100010000100…
…010110001101100000
32012200021121222002000
4111202010112031200
5334322224040300
614342104524000
71445636655210
oct254204261540
965607558060
1023120143200
119894799870
124592a80600
132245c3630b
141194844240
15904b42c00
hex562116360

23120143200 has 576 divisors, whose sum is σ = 104258327040. Its totient is φ = 4803840000.

The previous prime is 23120143187. The next prime is 23120143231. The reversal of 23120143200 is 234102132.

23120143200 is a `hidden beast` number, since 2 + 31 + 201 + 432 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1656250 + ... + 1670150.

It is an arithmetic number, because the mean of its divisors is an integer number (181004040).

Almost surely, 223120143200 is an apocalyptic number.

23120143200 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 23120143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52129163520).

23120143200 is an abundant number, since it is smaller than the sum of its proper divisors (81138183840).

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

23120143200 is a wasteful number, since it uses less digits than its factorization.

23120143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23120143200 its reverse (234102132), we get a palindrome (23354245332).

The spelling of 23120143200 in words is "twenty-three billion, one hundred twenty million, one hundred forty-three thousand, two hundred".