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3322431344413 is a prime number
BaseRepresentation
bin110000010110010000010…
…101110000111100011101
3102202121202221201122222001
4300112100111300330131
5413413314411010123
611022145350122301
7462015642315136
oct60262025607435
912677687648861
103322431344413
111071042973045
12457aab650391
131b13c4977c6c
14b6b411bcc8d
155b6563370ad
hex30590570f1d

3322431344413 has 2 divisors, whose sum is σ = 3322431344414. Its totient is φ = 3322431344412.

The previous prime is 3322431344387. The next prime is 3322431344431. The reversal of 3322431344413 is 3144431342233.

Together with next prime (3322431344431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3183094879129 + 139336465284 = 1784123^2 + 373278^2 .

It is a cyclic number.

It is not a de Polignac number, because 3322431344413 - 213 = 3322431336221 is a prime.

It is a super-3 number, since 3×33224313444133 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3322431344473) 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, 1661215672206 + 1661215672207.

It is an arithmetic number, because the mean of its divisors is an integer number (1661215672207).

Almost surely, 23322431344413 is an apocalyptic number.

It is an amenable number.

3322431344413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3322431344413 is an equidigital number, since it uses as much as digits as its factorization.

3322431344413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 37.

Adding to 3322431344413 its reverse (3144431342233), we get a palindrome (6466862686646).

The spelling of 3322431344413 in words is "three trillion, three hundred twenty-two billion, four hundred thirty-one million, three hundred forty-four thousand, four hundred thirteen".