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104531055120 = 24335193182163
BaseRepresentation
bin110000101011010001…
…0010101001000010000
3100222210221121210101000
41201112202111020100
53203034422230440
6120004303142000
710360243210512
oct1412642251020
9328727553330
10104531055120
1140371067958
12183132a4900
139b1b46a54b
1450b8b31bb2
152abbe0e730
hex1856895210

104531055120 has 320 divisors, whose sum is σ = 391232102400. Its totient is φ = 25555668480.

The previous prime is 104531055107. The next prime is 104531055131. The reversal of 104531055120 is 21550135401.

104531055120 is a `hidden beast` number, since 1 + 0 + 4 + 531 + 0 + 5 + 5 + 120 = 666.

104531055120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 1231159 + ... + 1313321.

It is an arithmetic number, because the mean of its divisors is an integer number (1222600320).

Almost surely, 2104531055120 is an apocalyptic number.

104531055120 is a gapful number since it is divisible by the number (10) 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 104531055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195616051200).

104531055120 is an abundant number, since it is smaller than the sum of its proper divisors (286701047280).

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

104531055120 is a wasteful number, since it uses less digits than its factorization.

104531055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82235 (or 82223 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 104531055120 in words is "one hundred four billion, five hundred thirty-one million, fifty-five thousand, one hundred twenty".