Search a number
-
+
113224141313 is a prime number
BaseRepresentation
bin110100101110010101…
…1110100101000000001
3101211020210012022210022
41221130223310220001
53323340340010223
6124003042143225
711115541215233
oct1513453645001
9354223168708
10113224141313
1144022092208
1219b3a651b15
13a8a546bb2a
1456a1494253
152e2a1b3ac8
hex1a5caf4a01

113224141313 has 2 divisors, whose sum is σ = 113224141314. Its totient is φ = 113224141312.

The previous prime is 113224141297. The next prime is 113224141351. The reversal of 113224141313 is 313141422311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113214079729 + 10061584 = 336473^2 + 3172^2 .

It is a cyclic number.

It is not a de Polignac number, because 113224141313 - 24 = 113224141297 is a prime.

It is not a weakly prime, because it can be changed into another prime (113224141363) 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 as a sum of consecutive naturals, namely, 56612070656 + 56612070657.

It is an arithmetic number, because the mean of its divisors is an integer number (56612070657).

Almost surely, 2113224141313 is an apocalyptic number.

It is an amenable number.

113224141313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113224141313 is an equidigital number, since it uses as much as digits as its factorization.

113224141313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

Adding to 113224141313 its reverse (313141422311), we get a palindrome (426365563624).

The spelling of 113224141313 in words is "one hundred thirteen billion, two hundred twenty-four million, one hundred forty-one thousand, three hundred thirteen".