Search a number
-
+
313106953 is a prime number
BaseRepresentation
bin10010101010011…
…010001000001001
3210211011110222211
4102222122020021
51120123410303
651022545121
710521236155
oct2252321011
9724143884
10313106953
11150816985
1288a381a1
134cb398b3
142d826065
151c74c66d
hex12a9a209

313106953 has 2 divisors, whose sum is σ = 313106954. Its totient is φ = 313106952.

The previous prime is 313106917. The next prime is 313106993. The reversal of 313106953 is 359601313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312122889 + 984064 = 17667^2 + 992^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313106953 is a prime.

It is not a weakly prime, because it can be changed into another prime (313106993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156553476 + 156553477.

It is an arithmetic number, because the mean of its divisors is an integer number (156553477).

Almost surely, 2313106953 is an apocalyptic number.

It is an amenable number.

313106953 is a deficient number, since it is larger than the sum of its proper divisors (1).

313106953 is an equidigital number, since it uses as much as digits as its factorization.

313106953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 313106953 is about 17694.8284252773. The cubic root of 313106953 is about 679.0434597303.

The spelling of 313106953 in words is "three hundred thirteen million, one hundred six thousand, nine hundred fifty-three".