Search a number
-
+
313242509 is a prime number
BaseRepresentation
bin10010101010111…
…011001110001101
3210211102100221102
4102222323032031
51120142230014
651025512445
710522342316
oct2252731615
9724370842
10313242509
111508a9808
1288aa2725
134cb864c8
142d85d60d
151c7778de
hex12abb38d

313242509 has 2 divisors, whose sum is σ = 313242510. Its totient is φ = 313242508.

The previous prime is 313242499. The next prime is 313242541. The reversal of 313242509 is 905242313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247275625 + 65966884 = 15725^2 + 8122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313242509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313245509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156621254 + 156621255.

It is an arithmetic number, because the mean of its divisors is an integer number (156621255).

Almost surely, 2313242509 is an apocalyptic number.

It is an amenable number.

313242509 is a deficient number, since it is larger than the sum of its proper divisors (1).

313242509 is an equidigital number, since it uses as much as digits as its factorization.

313242509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 313242509 is about 17698.6583954830. The cubic root of 313242509 is about 679.1414402380.

It can be divided in two parts, 31324 and 2509, that added together give a palindrome (33833).

The spelling of 313242509 in words is "three hundred thirteen million, two hundred forty-two thousand, five hundred nine".