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104115200000 = 213557283
BaseRepresentation
bin110000011110110111…
…1111110000000000000
3100221201222010011101112
41200331233332000000
53201211442400000
6115455130022452
710344033412100
oct1407557760000
9327658104345
10104115200000
1140178352839
1218217b77a28
139a83267326
145079801200
152a95668235
hex183dbfe000

104115200000 has 504 divisors, whose sum is σ = 306393686424. Its totient is φ = 35266560000.

The previous prime is 104115199967. The next prime is 104115200029. The reversal of 104115200000 is 2511401.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1254399959 + ... + 1254400041.

It is an arithmetic number, because the mean of its divisors is an integer number (607923981).

Almost surely, 2104115200000 is an apocalyptic number.

104115200000 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 104115200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153196843212).

104115200000 is an abundant number, since it is smaller than the sum of its proper divisors (202278486424).

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

104115200000 is an frugal number, since it uses more digits than its factorization.

104115200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 104115200000 its reverse (2511401), we get a palindrome (104117711401).

The spelling of 104115200000 in words is "one hundred four billion, one hundred fifteen million, two hundred thousand".