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321223303321097 is a prime number
BaseRepresentation
bin100100100001001101010000…
…0111000110101011000001001
31120010100122111022102120101212
41021002122200320311120021
5314100410311122233342
63055103540502022505
7124442421623255462
oct11102324070653011
91503318438376355
10321223303321097
11933960464a5701
123003b28a417a35
1310a312c5b54038
1459474100a5d69
152720b4e158182
hex12426a0e35609

321223303321097 has 2 divisors, whose sum is σ = 321223303321098. Its totient is φ = 321223303321096.

The previous prime is 321223303321061. The next prime is 321223303321099. The reversal of 321223303321097 is 790123303322123.

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., 242387035238656 + 78836268082441 = 15568784^2 + 8878979^2 .

It is a cyclic number.

It is not a de Polignac number, because 321223303321097 - 224 = 321223286543881 is a prime.

Together with 321223303321099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (321223303321099) 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, 160611651660548 + 160611651660549.

It is an arithmetic number, because the mean of its divisors is an integer number (160611651660549).

Almost surely, 2321223303321097 is an apocalyptic number.

It is an amenable number.

321223303321097 is a deficient number, since it is larger than the sum of its proper divisors (1).

321223303321097 is an equidigital number, since it uses as much as digits as its factorization.

321223303321097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 41.

The spelling of 321223303321097 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, three hundred three million, three hundred twenty-one thousand, ninety-seven".