Search a number
-
+
11323100113 = 131304966749
BaseRepresentation
bin10101000101110100…
…01100101111010001
31002020010102002021021
422202322030233101
5141142203200423
65111325155441
7550411522453
oct124272145721
932203362237
1011323100113
11489065a786
1222400bbb81
1310b5b52950
14795b782d3
1546411295d
hex2a2e8cbd1

11323100113 has 8 divisors (see below), whose sum is σ = 12195225000. Its totient is φ = 10451134848.

The previous prime is 11323100071. The next prime is 11323100161. The reversal of 11323100113 is 31100132311.

11323100113 is digitally balanced in base 2, 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 1002165649 + 10320934464 = 31657^2 + 101592^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11323100113 is a prime.

It is a super-2 number, since 2×113231001132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11323100183) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 136263 + ... + 203011.

It is an arithmetic number, because the mean of its divisors is an integer number (1524403125).

Almost surely, 211323100113 is an apocalyptic number.

11323100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11323100113 is a deficient number, since it is larger than the sum of its proper divisors (872124887).

11323100113 is a wasteful number, since it uses less digits than its factorization.

11323100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79811.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11323100113 its reverse (31100132311), we get a palindrome (42423232424).

The spelling of 11323100113 in words is "eleven billion, three hundred twenty-three million, one hundred thousand, one hundred thirteen".

Divisors: 1 13 13049 66749 169637 867737 871007701 11323100113