Search a number
-
+
313301224121 is a prime number
BaseRepresentation
bin1001000111100100011…
…01010100101010111001
31002221200111112020000112
410203302031110222321
520113120103132441
6355532324314105
731430616315404
oct4436215245271
91087614466015
10313301224121
11110963411906
1250877b42935
132370c739622
14112418bcd3b
15823a2b24eb
hex48f2354ab9

313301224121 has 2 divisors, whose sum is σ = 313301224122. Its totient is φ = 313301224120.

The previous prime is 313301224063. The next prime is 313301224129. The reversal of 313301224121 is 121422103313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285731942521 + 27569281600 = 534539^2 + 166040^2 .

It is a cyclic number.

It is not a de Polignac number, because 313301224121 - 210 = 313301223097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (313301224129) 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, 156650612060 + 156650612061.

It is an arithmetic number, because the mean of its divisors is an integer number (156650612061).

Almost surely, 2313301224121 is an apocalyptic number.

It is an amenable number.

313301224121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301224121 is an equidigital number, since it uses as much as digits as its factorization.

313301224121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 313301224121 its reverse (121422103313), we get a palindrome (434723327434).

The spelling of 313301224121 in words is "three hundred thirteen billion, three hundred one million, two hundred twenty-four thousand, one hundred twenty-one".