Search a number
-
+
113303111233 = 13611372693877
BaseRepresentation
bin110100110000101100…
…1000100011001000001
3101211110021210102011011
41221201121010121001
53324021044024413
6124014542520521
711120520361234
oct1514131043101
9354407712134
10113303111233
114406271a504
1219b60b96141
13a8b892b3b0
1456abb6d41b
152e320b233d
hex1a61644641

113303111233 has 32 divisors (see below), whose sum is σ = 125421035040. Its totient is φ = 101716162560.

The previous prime is 113303111227. The next prime is 113303111237. The reversal of 113303111233 is 332111303311.

It can be written as a sum of positive squares in 16 ways, for example, as 101179339569 + 12123771664 = 318087^2 + 110108^2 .

It is a cyclic number.

It is not a de Polignac number, because 113303111233 - 233 = 104713176641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113303111237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29222491 + ... + 29226367.

It is an arithmetic number, because the mean of its divisors is an integer number (3919407345).

Almost surely, 2113303111233 is an apocalyptic number.

113303111233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113303111233 is a deficient number, since it is larger than the sum of its proper divisors (12117923807).

113303111233 is a wasteful number, since it uses less digits than its factorization.

113303111233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113303111233 its reverse (332111303311), we get a palindrome (445414414544).

The spelling of 113303111233 in words is "one hundred thirteen billion, three hundred three million, one hundred eleven thousand, two hundred thirty-three".

Divisors: 1 13 61 137 269 793 1781 3497 3877 8357 16409 36853 50401 108641 213317 236497 479089 531149 1042913 2248033 3074461 6904937 13557869 29224429 32400089 63617693 142879081 421201157 827030009 1857428053 8715623941 113303111233