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23035821120 = 26335132337241
BaseRepresentation
bin10101011101000010…
…101011110001000000
32012110101221221221000
4111131002223301000
5334134132233440
614325453332000
71443564151224
oct253502536100
965411857830
1023035821120
1198511363a4
12456a797000
1322316218b0
141187574784
158ec538730
hex55d0abc40

23035821120 has 896 divisors, whose sum is σ = 94178810880. Its totient is φ = 5255331840.

The previous prime is 23035821113. The next prime is 23035821131. The reversal of 23035821120 is 2112853032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95584200 + ... + 95584440.

It is an arithmetic number, because the mean of its divisors is an integer number (105110280).

Almost surely, 223035821120 is an apocalyptic number.

23035821120 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 23035821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47089405440).

23035821120 is an abundant number, since it is smaller than the sum of its proper divisors (71142989760).

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

23035821120 is a wasteful number, since it uses less digits than its factorization.

23035821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23035821120 in words is "twenty-three billion, thirty-five million, eight hundred twenty-one thousand, one hundred twenty".