Search a number
-
+
313222033 is a prime number
BaseRepresentation
bin10010101010110…
…110001110010001
3210211101022212001
4102222312032101
51120141101113
651025234001
710522225525
oct2252661621
9724338761
10313222033
11150895393
1288a92901
134cb7a0a7
142d855d85
151c7717dd
hex12ab6391

313222033 has 2 divisors, whose sum is σ = 313222034. Its totient is φ = 313222032.

The previous prime is 313222031. The next prime is 313222043. The reversal of 313222033 is 330222313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191075329 + 122146704 = 13823^2 + 11052^2 .

It is a cyclic number.

It is not a de Polignac number, because 313222033 - 21 = 313222031 is a prime.

Together with 313222031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 313222033.

It is not a weakly prime, because it can be changed into another prime (313222031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611016 + 156611017.

It is an arithmetic number, because the mean of its divisors is an integer number (156611017).

Almost surely, 2313222033 is an apocalyptic number.

It is an amenable number.

313222033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313222033 is an equidigital number, since it uses as much as digits as its factorization.

313222033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 313222033 is about 17698.0799241048. The cubic root of 313222033 is about 679.1266419026.

Adding to 313222033 its reverse (330222313), we get a palindrome (643444346).

The spelling of 313222033 in words is "three hundred thirteen million, two hundred twenty-two thousand, thirty-three".