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113759930000 = 245411375993
BaseRepresentation
bin110100111110010011…
…1101100011010010000
3101212122010101012200202
41221330213230122100
53330440020230000
6124132142034332
711135035310333
oct1517447543220
9355563335622
10113759930000
1144277573182
121a069b789a8
13a95c474962
1457126c461a
152e5c24add5
hex1a7c9ec690

113759930000 has 50 divisors (see below), whose sum is σ = 275424190734. Its totient is φ = 45503968000.

The previous prime is 113759929993. The next prime is 113759930023. The reversal of 113759930000 is 39957311.

113759930000 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 5 ways, for example, as 72333026704 + 41426903296 = 268948^2 + 203536^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5677997 + ... + 5697996.

Almost surely, 2113759930000 is an apocalyptic number.

113759930000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113759930000 is an abundant number, since it is smaller than the sum of its proper divisors (161664260734).

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

113759930000 is an equidigital number, since it uses as much as digits as its factorization.

113759930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376021 (or 11376000 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 38.

The spelling of 113759930000 in words is "one hundred thirteen billion, seven hundred fifty-nine million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11375993 22751986 45503972 56879965 91007944 113759930 182015888 227519860 284399825 455039720 568799650 910079440 1137599300 1421999125 2275198600 2843998250 4550397200 5687996500 7109995625 11375993000 14219991250 22751986000 28439982500 56879965000 113759930000