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331313334389 is a prime number
BaseRepresentation
bin1001101001000111101…
…00000100100001110101
31011200011210111020012122
410310203310010201311
520412012203200024
6412111522325325
732636152606412
oct4644364044165
91150153436178
10331313334389
11118566815954
12542641b9845
132532031a13b
141206db7d109
15894175dd5e
hex4d23d04875

331313334389 has 2 divisors, whose sum is σ = 331313334390. Its totient is φ = 331313334388.

The previous prime is 331313334323. The next prime is 331313334449. The reversal of 331313334389 is 983433313133.

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., 244975502500 + 86337831889 = 494950^2 + 293833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331313334389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331313334089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656667194 + 165656667195.

It is an arithmetic number, because the mean of its divisors is an integer number (165656667195).

Almost surely, 2331313334389 is an apocalyptic number.

It is an amenable number.

331313334389 is a deficient number, since it is larger than the sum of its proper divisors (1).

331313334389 is an equidigital number, since it uses as much as digits as its factorization.

331313334389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 44.

The spelling of 331313334389 in words is "three hundred thirty-one billion, three hundred thirteen million, three hundred thirty-four thousand, three hundred eighty-nine".