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10113313000 = 235371444759
BaseRepresentation
bin10010110101100110…
…01110100011101000
3222002210222112100011
421122303032203220
5131203002004000
64351311221304
7505421512360
oct113263164350
928083875304
1010113313000
11431a77981a
121b62b17834
13c5231279b
146bd21b9a0
153e2ce22ba
hex25acce8e8

10113313000 has 64 divisors (see below), whose sum is σ = 27045907200. Its totient is φ = 3467419200.

The previous prime is 10113312997. The next prime is 10113313013. The reversal of 10113313000 is 31331101.

It is a happy number.

10113313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715380 + ... + 729379.

It is an arithmetic number, because the mean of its divisors is an integer number (422592300).

Almost surely, 210113313000 is an apocalyptic number.

10113313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113313000 is an abundant number, since it is smaller than the sum of its proper divisors (16932594200).

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

10113313000 is a wasteful number, since it uses less digits than its factorization.

10113313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444787 (or 1444773 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10113313000 its reverse (31331101), we get a palindrome (10144644101).

The spelling of 10113313000 in words is "ten billion, one hundred thirteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1444759 2889518 5779036 7223795 10113313 11558072 14447590 20226626 28895180 36118975 40453252 50566565 57790360 72237950 80906504 101133130 144475900 180594875 202266260 252832825 288951800 361189750 404532520 505665650 722379500 1011331300 1264164125 1444759000 2022662600 2528328250 5056656500 10113313000