Search a number
-
+
332344202442209 is a prime number
BaseRepresentation
bin100101110010000111110101…
…0001000010011010111100001
31121120201210110220002221111122
41023210033222020103113201
5322030111411311122314
63134500452513222025
7130001035104152636
oct11344175210232741
91546653426087448
10332344202442209
11969934260a0731
1231336648b61915
1311359c0180ba79
145c0d78c15218d
15286507e6be28e
hex12e43ea2135e1

332344202442209 has 2 divisors, whose sum is σ = 332344202442210. Its totient is φ = 332344202442208.

The previous prime is 332344202442181. The next prime is 332344202442223. The reversal of 332344202442209 is 902244202443233.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183992947360000 + 148351255082209 = 13564400^2 + 12179953^2 .

It is a cyclic number.

It is not a de Polignac number, because 332344202442209 - 224 = 332344185664993 is a prime.

It is a super-2 number, since 2×3323442024422092 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332344202442209.

It is not a weakly prime, because it can be changed into another prime (332344202442269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166172101221104 + 166172101221105.

It is an arithmetic number, because the mean of its divisors is an integer number (166172101221105).

Almost surely, 2332344202442209 is an apocalyptic number.

It is an amenable number.

332344202442209 is a deficient number, since it is larger than the sum of its proper divisors (1).

332344202442209 is an equidigital number, since it uses as much as digits as its factorization.

332344202442209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1990656, while the sum is 44.

The spelling of 332344202442209 in words is "three hundred thirty-two trillion, three hundred forty-four billion, two hundred two million, four hundred forty-two thousand, two hundred nine".