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103130899600 = 2452160572
BaseRepresentation
bin110000000001100010…
…1001010010010010000
3100212012100222112002011
41200003011022102100
53142203002241400
6115213325032304
710310452116451
oct1400305122220
9325170875064
10103130899600
113a812782333
1217ba23b5694
139957366061
144dc4bbd128
152a390388ba
hex180314a490

103130899600 has 45 divisors (see below), whose sum is σ = 247787418027. Its totient is φ = 41249790720.

The previous prime is 103130899567. The next prime is 103130899639. The reversal of 103130899600 is 6998031301.

The square root of 103130899600 is 321140.

It is a perfect power (a square), and thus also a powerful number.

103130899600 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 4 ways, for example, as 3487138704 + 99643760896 = 59052^2 + 315664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6414772 + ... + 6430828.

Almost surely, 2103130899600 is an apocalyptic number.

103130899600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103130899600 is the 321140-th square number.

It is an amenable number.

103130899600 is an abundant number, since it is smaller than the sum of its proper divisors (144656518427).

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

103130899600 is an frugal number, since it uses more digits than its factorization.

103130899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32132 (or 16064 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 103130899600 in words is "one hundred three billion, one hundred thirty million, eight hundred ninety-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 16057 32114 64228 80285 128456 160570 256912 321140 401425 642280 802850 1284560 1605700 3211400 6422800 257827249 515654498 1031308996 1289136245 2062617992 2578272490 4125235984 5156544980 6445681225 10313089960 12891362450 20626179920 25782724900 51565449800 103130899600