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13222233221 is a prime number
BaseRepresentation
bin11000101000001101…
…10100010010000101
31021010110222001010112
430110012310102011
5204034342430341
610024010202405
7645442061621
oct142406642205
937113861115
1013222233221
11567567357a
122690123405
131329441a52
148d6098181
15525bedaeb
hex3141b4485

13222233221 has 2 divisors, whose sum is σ = 13222233222. Its totient is φ = 13222233220.

The previous prime is 13222233203. The next prime is 13222233223. The reversal of 13222233221 is 12233222231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13065633025 + 156600196 = 114305^2 + 12514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13222233221 is a prime.

Together with 13222233223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13222233223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611116610 + 6611116611.

It is an arithmetic number, because the mean of its divisors is an integer number (6611116611).

Almost surely, 213222233221 is an apocalyptic number.

It is an amenable number.

13222233221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222233221 is an equidigital number, since it uses as much as digits as its factorization.

13222233221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 23.

Adding to 13222233221 its reverse (12233222231), we get a palindrome (25455455452).

The spelling of 13222233221 in words is "thirteen billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty-one".