Search a number
-
+
113330009 = 1361241593
BaseRepresentation
bin1101100000101…
…00011101011001
321220020202112202
412300110131121
5213003030014
615125015545
72544201122
oct660243531
9256222482
10113330009
1158a76571
1231b545b5
131a62cca0
14110a1049
159e393de
hex6c14759

113330009 has 16 divisors (see below), whose sum is σ = 124773264. Its totient is φ = 102297600.

The previous prime is 113329961. The next prime is 113330011. The reversal of 113330009 is 900033311.

It can be written as a sum of positive squares in 8 ways, for example, as 10368400 + 102961609 = 3220^2 + 10147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113330009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113330029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190817 + ... + 191409.

It is an arithmetic number, because the mean of its divisors is an integer number (7798329).

Almost surely, 2113330009 is an apocalyptic number.

It is an amenable number.

113330009 is a deficient number, since it is larger than the sum of its proper divisors (11443255).

113330009 is a wasteful number, since it uses less digits than its factorization.

113330009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 113330009 is about 10645.6568139312. The cubic root of 113330009 is about 483.9289917571.

The spelling of 113330009 in words is "one hundred thirteen million, three hundred thirty thousand, nine".

Divisors: 1 13 61 241 593 793 3133 7709 14701 36173 142913 191113 470249 1857869 8717693 113330009