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104121304400 = 2452283791753
BaseRepresentation
bin110000011111000011…
…1010000010101010000
3100221202101121022001102
41200332013100111100
53201220023220100
6115455504523532
710344136325141
oct1407607202520
9327671538042
10104121304400
11401808420a3
121821a0205a8
139a845c39b9
14507a54dac8
152a95e71cd5
hex183e1d0550

104121304400 has 60 divisors (see below), whose sum is σ = 250242335772. Its totient is φ = 41633387520.

The previous prime is 104121304393. The next prime is 104121304429. The reversal of 104121304400 is 4403121401.

104121304400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16803418384 + 87317886016 = 129628^2 + 295496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1088924 + ... + 1180676.

Almost surely, 2104121304400 is an apocalyptic number.

104121304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104121304400 is an abundant number, since it is smaller than the sum of its proper divisors (146121031372).

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

104121304400 is a wasteful number, since it uses less digits than its factorization.

104121304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94608 (or 94597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 104121304400 its reverse (4403121401), we get a palindrome (108524425801).

The spelling of 104121304400 in words is "one hundred four billion, one hundred twenty-one million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2837 5674 11348 14185 22696 28370 45392 56740 70925 91753 113480 141850 183506 226960 283700 367012 458765 567400 734024 917530 1134800 1468048 1835060 2293825 3670120 4587650 7340240 9175300 18350600 36701200 260303261 520606522 1041213044 1301516305 2082426088 2603032610 4164852176 5206065220 6507581525 10412130440 13015163050 20824260880 26030326100 52060652200 104121304400