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104021114120 = 2357211191971289
BaseRepresentation
bin110000011100000100…
…1000011110100001000
3100221111102002002211022
41200320021003310020
53201013401122440
6115441525252012
710341511611200
oct1407011036410
9327442062738
10104021114120
114012a230710
12181b0564008
139a69914701
14506b10d400
152a8c280cb5
hex1838243d08

104021114120 has 384 divisors, whose sum is σ = 314473104000. Its totient is φ = 30536110080.

The previous prime is 104021114083. The next prime is 104021114123. The reversal of 104021114120 is 21411120401.

104021114120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (104021114123) by changing a digit.

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, 80698436 + ... + 80699724.

It is an arithmetic number, because the mean of its divisors is an integer number (818940375).

Almost surely, 2104021114120 is an apocalyptic number.

104021114120 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 104021114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157236552000).

104021114120 is an abundant number, since it is smaller than the sum of its proper divisors (210451989880).

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

104021114120 is a wasteful number, since it uses less digits than its factorization.

104021114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 104021114120 its reverse (21411120401), we get a palindrome (125432234521).

The spelling of 104021114120 in words is "one hundred four billion, twenty-one million, one hundred fourteen thousand, one hundred twenty".