Search a number
-
+
113047033 = 1123492677
BaseRepresentation
bin1101011110011…
…11010111111001
321212201101101011
412233033113321
5212420001113
615114553521
72541612121
oct657172771
9255641334
10113047033
11588a2a00
1231a388a1
131a561248
1411029c81
159dd063d
hex6bcf5f9

113047033 has 12 divisors (see below), whose sum is σ = 124660900. Its totient is φ = 102437280.

The previous prime is 113047031. The next prime is 113047037. The reversal of 113047033 is 330740311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 78801129 = 5852^2 + 8877^2 .

It is not a de Polignac number, because 113047033 - 21 = 113047031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113046995 and 113047013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113047031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40891 + ... + 43567.

Almost surely, 2113047033 is an apocalyptic number.

It is an amenable number.

113047033 is a deficient number, since it is larger than the sum of its proper divisors (11613867).

113047033 is a wasteful number, since it uses less digits than its factorization.

113047033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 113047033 is about 10632.3578288167. The cubic root of 113047033 is about 483.5258786826.

Adding to 113047033 its reverse (330740311), we get a palindrome (443787344).

The spelling of 113047033 in words is "one hundred thirteen million, forty-seven thousand, thirty-three".

Divisors: 1 11 121 349 2677 3839 29447 42229 323917 934273 10277003 113047033