Search a number
-
+
114313313353 is a prime number
BaseRepresentation
bin110101001110110011…
…0101011110001001001
3101221001200122222221111
41222131212223301021
53333103202011403
6124303111010321
711154535063021
oct1523546536111
9357050588844
10114313313353
1144530981298
121a1a33699a1
13aa19ccb125
145765db4a81
152e90b0b56d
hex1a9d9abc49

114313313353 has 2 divisors, whose sum is σ = 114313313354. Its totient is φ = 114313313352.

The previous prime is 114313313351. The next prime is 114313313417. The reversal of 114313313353 is 353313313411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114306200464 + 7112889 = 338092^2 + 2667^2 .

It is a cyclic number.

It is not a de Polignac number, because 114313313353 - 21 = 114313313351 is a prime.

Together with 114313313351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (114313313351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57156656676 + 57156656677.

It is an arithmetic number, because the mean of its divisors is an integer number (57156656677).

Almost surely, 2114313313353 is an apocalyptic number.

It is an amenable number.

114313313353 is a deficient number, since it is larger than the sum of its proper divisors (1).

114313313353 is an equidigital number, since it uses as much as digits as its factorization.

114313313353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 14580, while the sum is 31.

Adding to 114313313353 its reverse (353313313411), we get a palindrome (467626626764).

The spelling of 114313313353 in words is "one hundred fourteen billion, three hundred thirteen million, three hundred thirteen thousand, three hundred fifty-three".