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331203113249 is a prime number
BaseRepresentation
bin1001101000111010011…
…11100111000100100001
31011122220010002102020012
410310131033213010201
520411300444110444
6412052544054305
732633344004111
oct4643517470441
91148803072205
10331203113249
1111850a5830a8
1254233304395
1325303538228
141205d28b041
158936c3ab9e
hex4d1d3e7121

331203113249 has 2 divisors, whose sum is σ = 331203113250. Its totient is φ = 331203113248.

The previous prime is 331203113161. The next prime is 331203113273. The reversal of 331203113249 is 942311302133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271566054400 + 59637058849 = 521120^2 + 244207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331203113249 is a prime.

It is not a weakly prime, because it can be changed into another prime (331203115249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165601556624 + 165601556625.

It is an arithmetic number, because the mean of its divisors is an integer number (165601556625).

Almost surely, 2331203113249 is an apocalyptic number.

It is an amenable number.

331203113249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331203113249 is an equidigital number, since it uses as much as digits as its factorization.

331203113249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 331203113249 in words is "three hundred thirty-one billion, two hundred three million, one hundred thirteen thousand, two hundred forty-nine".