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13222336121 is a prime number
BaseRepresentation
bin11000101000001110…
…01101011001111001
31021010111011021021122
430110013031121321
5204034404223441
610024012315025
7645443000621
oct142407153171
937114137248
1013222336121
115675733915
122690172a75
131329479837
148d60c3881
15525c1e34b
hex3141cd679

13222336121 has 2 divisors, whose sum is σ = 13222336122. Its totient is φ = 13222336120.

The previous prime is 13222336103. The next prime is 13222336133. The reversal of 13222336121 is 12163322231.

It is a happy number.

13222336121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8313792400 + 4908543721 = 91180^2 + 70061^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222336121 - 210 = 13222335097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13222333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611168060 + 6611168061.

It is an arithmetic number, because the mean of its divisors is an integer number (6611168061).

Almost surely, 213222336121 is an apocalyptic number.

It is an amenable number.

13222336121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222336121 is an equidigital number, since it uses as much as digits as its factorization.

13222336121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

Adding to 13222336121 its reverse (12163322231), we get a palindrome (25385658352).

The spelling of 13222336121 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty-six thousand, one hundred twenty-one".