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319430463846161 is a prime number
BaseRepresentation
bin100100010100001010011001…
…1010100111111011100010001
31112220000020212020122202201012
41020220110303110333130101
5313332022042221034121
63051212155042020305
7124166042450210663
oct11050246324773421
91486006766582635
10319430463846161
1192864776340528
122b9ab920047695
131093121825a515
1458c47346bc533
1526de1bd076c5b
hex122853353f711

319430463846161 has 2 divisors, whose sum is σ = 319430463846162. Its totient is φ = 319430463846160.

The previous prime is 319430463846127. The next prime is 319430463846167. The reversal of 319430463846161 is 161648364034913.

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., 245581620049936 + 73848843796225 = 15671044^2 + 8593535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-319430463846161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 319430463846161.

It is not a weakly prime, because it can be changed into another prime (319430463846167) 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, 159715231923080 + 159715231923081.

It is an arithmetic number, because the mean of its divisors is an integer number (159715231923081).

Almost surely, 2319430463846161 is an apocalyptic number.

It is an amenable number.

319430463846161 is a deficient number, since it is larger than the sum of its proper divisors (1).

319430463846161 is an equidigital number, since it uses as much as digits as its factorization.

319430463846161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 319430463846161 in words is "three hundred nineteen trillion, four hundred thirty billion, four hundred sixty-three million, eight hundred forty-six thousand, one hundred sixty-one".