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331123311217 is a prime number
BaseRepresentation
bin1001101000110000111…
…11001100001001110001
31011122200112221001102101
410310120133030021301
520411120031424332
6412041013420401
732631354464116
oct4643037141161
91148615831371
10331123311217
11118479527706
125421063a701
13252bcb46caa
141205283690d
15892ec25ae7
hex4d187cc271

331123311217 has 2 divisors, whose sum is σ = 331123311218. Its totient is φ = 331123311216.

The previous prime is 331123311173. The next prime is 331123311223. The reversal of 331123311217 is 712113321133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321796387441 + 9326923776 = 567271^2 + 96576^2 .

It is a cyclic number.

It is not a de Polignac number, because 331123311217 - 227 = 330989093489 is a prime.

It is not a weakly prime, because it can be changed into another prime (331123311287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561655608 + 165561655609.

It is an arithmetic number, because the mean of its divisors is an integer number (165561655609).

Almost surely, 2331123311217 is an apocalyptic number.

It is an amenable number.

331123311217 is a deficient number, since it is larger than the sum of its proper divisors (1).

331123311217 is an equidigital number, since it uses as much as digits as its factorization.

331123311217 is an evil number, because the sum of its binary digits is even.

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

The spelling of 331123311217 in words is "three hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, two hundred seventeen".