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113440414313 is a prime number
BaseRepresentation
bin110100110100110010…
…0110101101001101001
3101211210212011010120102
41221221210311221221
53324311221224223
6124040325435145
711124105416612
oct1515144655151
9354725133512
10113440414313
114412317a326
1219b9ab6bab5
13a90b203015
1456c20b0c09
152e3e184928
hex1a69935a69

113440414313 has 2 divisors, whose sum is σ = 113440414314. Its totient is φ = 113440414312.

The previous prime is 113440414289. The next prime is 113440414327. The reversal of 113440414313 is 313414044311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109717950169 + 3722464144 = 331237^2 + 61012^2 .

It is a cyclic number.

It is not a de Polignac number, because 113440414313 - 214 = 113440397929 is a prime.

It is not a weakly prime, because it can be changed into another prime (113440414613) 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, 56720207156 + 56720207157.

It is an arithmetic number, because the mean of its divisors is an integer number (56720207157).

Almost surely, 2113440414313 is an apocalyptic number.

It is an amenable number.

113440414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113440414313 is an equidigital number, since it uses as much as digits as its factorization.

113440414313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 113440414313 its reverse (313414044311), we get a palindrome (426854458624).

The spelling of 113440414313 in words is "one hundred thirteen billion, four hundred forty million, four hundred fourteen thousand, three hundred thirteen".