Search a number
-
+
313336031 is a prime number
BaseRepresentation
bin10010101011010…
…010000011011111
3210211121010020012
4102223102003133
51120203223111
651031513435
710523212061
oct2253220337
9724533205
10313336031
11150962aa8
1288b2887b
134cbb9c48
142d885731
151c79548b
hex12ad20df

313336031 has 2 divisors, whose sum is σ = 313336032. Its totient is φ = 313336030.

The previous prime is 313336007. The next prime is 313336033. The reversal of 313336031 is 130633313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313336031 is a prime.

It is a super-2 number, since 2×3133360312 = 196358936645665922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 313336033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313335988 and 313336006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313336033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156668015 + 156668016.

It is an arithmetic number, because the mean of its divisors is an integer number (156668016).

Almost surely, 2313336031 is an apocalyptic number.

313336031 is a deficient number, since it is larger than the sum of its proper divisors (1).

313336031 is an equidigital number, since it uses as much as digits as its factorization.

313336031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

The square root of 313336031 is about 17701.3002629750. The cubic root of 313336031 is about 679.2090218976.

Adding to 313336031 its reverse (130633313), we get a palindrome (443969344).

The spelling of 313336031 in words is "three hundred thirteen million, three hundred thirty-six thousand, thirty-one".