Search a number
-
+
309137041 is a prime number
BaseRepresentation
bin10010011011010…
…000111010010001
3210112200210022001
4102123100322101
51113114341131
650401514001
710442423113
oct2233207221
9715623261
10309137041
11149555264
1287642901
134c079935
142d0b13b3
151c216261
hex126d0e91

309137041 has 2 divisors, whose sum is σ = 309137042. Its totient is φ = 309137040.

The previous prime is 309137029. The next prime is 309137047. The reversal of 309137041 is 140731903.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282912400 + 26224641 = 16820^2 + 5121^2 .

It is a cyclic number.

It is not a de Polignac number, because 309137041 - 25 = 309137009 is a prime.

It is not a weakly prime, because it can be changed into another prime (309137047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 154568520 + 154568521.

It is an arithmetic number, because the mean of its divisors is an integer number (154568521).

Almost surely, 2309137041 is an apocalyptic number.

It is an amenable number.

309137041 is a deficient number, since it is larger than the sum of its proper divisors (1).

309137041 is an equidigital number, since it uses as much as digits as its factorization.

309137041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 309137041 is about 17582.2933942077. The cubic root of 309137041 is about 676.1613594536.

Adding to 309137041 its reverse (140731903), we get a palindrome (449868944).

The spelling of 309137041 in words is "three hundred nine million, one hundred thirty-seven thousand, forty-one".