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113311123141 is a prime number
BaseRepresentation
bin110100110000111011…
…1101000011011000101
3101211110211212110102111
41221201313220123011
53324030121420031
6124015430341021
711120645440456
oct1514167503305
9354424773374
10113311123141
11440671a1a17
1219b637ba771
13a8ba4a5078
1456acc5712d
152e32b461b1
hex1a61de86c5

113311123141 has 2 divisors, whose sum is σ = 113311123142. Its totient is φ = 113311123140.

The previous prime is 113311123127. The next prime is 113311123153. The reversal of 113311123141 is 141321113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112315468225 + 995654916 = 335135^2 + 31554^2 .

It is a cyclic number.

It is not a de Polignac number, because 113311123141 - 25 = 113311123109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113311123241) 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 as a sum of consecutive naturals, namely, 56655561570 + 56655561571.

It is an arithmetic number, because the mean of its divisors is an integer number (56655561571).

Almost surely, 2113311123141 is an apocalyptic number.

It is an amenable number.

113311123141 is a deficient number, since it is larger than the sum of its proper divisors (1).

113311123141 is an equidigital number, since it uses as much as digits as its factorization.

113311123141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 22.

Adding to 113311123141 its reverse (141321113311), we get a palindrome (254632236452).

The spelling of 113311123141 in words is "one hundred thirteen billion, three hundred eleven million, one hundred twenty-three thousand, one hundred forty-one".