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104031200400 = 2435286692667
BaseRepresentation
bin110000011100010111…
…1100010010010010000
3100221112010001112121020
41200320233202102100
53201023441403100
6115442525355440
710341663420231
oct1407057422220
9327463045536
10104031200400
114013499a686
12181b3a08b80
139a6ba3661a
14506c5b7088
152a8d0c45a0
hex1838be2490

104031200400 has 60 divisors (see below), whose sum is σ = 333246615792. Its totient is φ = 27741653120.

The previous prime is 104031200381. The next prime is 104031200411. The reversal of 104031200400 is 4002130401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104031200400.

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, 43345134 + ... + 43347533.

Almost surely, 2104031200400 is an apocalyptic number.

104031200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104031200400 is an abundant number, since it is smaller than the sum of its proper divisors (229215415392).

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

104031200400 is a wasteful number, since it uses less digits than its factorization.

104031200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86692688 (or 86692677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 104031200400 its reverse (4002130401), we get a palindrome (108033330801).

The spelling of 104031200400 in words is "one hundred four billion, thirty-one million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 86692667 173385334 260078001 346770668 433463335 520156002 693541336 866926670 1040312004 1300390005 1387082672 1733853340 2080624008 2167316675 2600780010 3467706680 4161248016 4334633350 5201560020 6501950025 6935413360 8669266700 10403120040 13003900050 17338533400 20806240080 26007800100 34677066800 52015600200 104031200400