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103034809920 = 2635729528709
BaseRepresentation
bin101111111110101011…
…0100110111001000000
3100211221200011122211010
41133331112212321000
53142003402404140
6115200013320520
710305204301560
oct1377526467100
9324850148733
10103034809920
113a773511779
1217b76196140
139940491363
144db6128da0
152a308a7880
hex17fd5a6e40

103034809920 has 224 divisors, whose sum is σ = 386761939200. Its totient is φ = 22738673664.

The previous prime is 103034809879. The next prime is 103034809931. The reversal of 103034809920 is 29908430301.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69475 + ... + 459234.

It is an arithmetic number, because the mean of its divisors is an integer number (1726615800).

Almost surely, 2103034809920 is an apocalyptic number.

103034809920 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 103034809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380969600).

103034809920 is an abundant number, since it is smaller than the sum of its proper divisors (283727129280).

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

103034809920 is a wasteful number, since it uses less digits than its factorization.

103034809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528765 (or 528755 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 103034809920 in words is "one hundred three billion, thirty-four million, eight hundred nine thousand, nine hundred twenty".