34221322000309 has 2 divisors, whose sum is σ = 34221322000310. Its totient is φ = 34221322000308.

The previous prime is 34221322000141. The next prime is 34221322000321. The reversal of 34221322000309 is 90300022312243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23358826611409 + 10862495388900 = 4833097^2 + 3295830^2 .

It is a cyclic number.

It is not a de Polignac number, because 34221322000309 - 2¹¹ = 34221321998261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34221322000609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17110661000154 + 17110661000155.

It is an arithmetic number, because the mean of its divisors is an integer number (17110661000155).

Almost surely, 2^{34221322000309} is an apocalyptic number.

It is an amenable number.

34221322000309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34221322000309 is an equidigital number, since it uses as much as digits as its factorization.

34221322000309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 34221322000309 in words is "thirty-four trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred nine", and thus it is an aban number.