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13111223221 is a prime number
BaseRepresentation
bin11000011010111110…
…10110001110110101
31020211202002011001001
430031133112032311
5203322433120341
610005003003301
7642623362405
oct141537261665
936752064031
1013111223221
115618a42078
12265ab09531
13130c444a65
148c543c805
1551b0c1d31
hex30d7d63b5

13111223221 has 2 divisors, whose sum is σ = 13111223222. Its totient is φ = 13111223220.

The previous prime is 13111223219. The next prime is 13111223249. The reversal of 13111223221 is 12232211131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12434703121 + 676520100 = 111511^2 + 26010^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111223221 - 21 = 13111223219 is a prime.

It is a super-3 number, since 3×131112232213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13111223219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13111223261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555611610 + 6555611611.

It is an arithmetic number, because the mean of its divisors is an integer number (6555611611).

Almost surely, 213111223221 is an apocalyptic number.

It is an amenable number.

13111223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111223221 is an equidigital number, since it uses as much as digits as its factorization.

13111223221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 19.

Adding to 13111223221 its reverse (12232211131), we get a palindrome (25343434352).

The spelling of 13111223221 in words is "thirteen billion, one hundred eleven million, two hundred twenty-three thousand, two hundred twenty-one".