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23120444100 = 2235213231132281
BaseRepresentation
bin10101100010000101…
…011111101011000100
32012200022012020211110
4111202011133223010
5334322313202400
614342115205020
71445642350365
oct254205375304
965608166743
1023120444100
119894984946
124592ba6770
132246010270
1411948c1b6c
15904ba1e50
hex56215fac4

23120444100 has 288 divisors, whose sum is σ = 75871643904. Its totient is φ = 5393203200.

The previous prime is 23120444089. The next prime is 23120444117. The reversal of 23120444100 is 144402132.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10134960 + ... + 10137240.

It is an arithmetic number, because the mean of its divisors is an integer number (263443208).

Almost surely, 223120444100 is an apocalyptic number.

23120444100 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 23120444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37935821952).

23120444100 is an abundant number, since it is smaller than the sum of its proper divisors (52751199804).

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

23120444100 is a wasteful number, since it uses less digits than its factorization.

23120444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23120444100 its reverse (144402132), we get a palindrome (23264846232).

The spelling of 23120444100 in words is "twenty-three billion, one hundred twenty million, four hundred forty-four thousand, one hundred".