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13223000321 is a prime number
BaseRepresentation
bin11000101000010011…
…01111100100000001
31021010112102000101122
430110021233210001
5204040042002241
610024034442025
7645451435226
oct142411574401
937115360348
1013223000321
115676047943
122690433315
13132964cc5b
148d621794d
15525d0104b
hex31426f901

13223000321 has 2 divisors, whose sum is σ = 13223000322. Its totient is φ = 13223000320.

The previous prime is 13223000309. The next prime is 13223000359. The reversal of 13223000321 is 12300032231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12252054721 + 970945600 = 110689^2 + 31160^2 .

It is an emirp because it is prime and its reverse (12300032231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13223000321 - 226 = 13155891457 is a prime.

It is a super-2 number, since 2×132230003212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13223000321.

It is not a weakly prime, because it can be changed into another prime (13223002321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611500160 + 6611500161.

It is an arithmetic number, because the mean of its divisors is an integer number (6611500161).

Almost surely, 213223000321 is an apocalyptic number.

It is an amenable number.

13223000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223000321 is an equidigital number, since it uses as much as digits as its factorization.

13223000321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13223000321 its reverse (12300032231), we get a palindrome (25523032552).

The spelling of 13223000321 in words is "thirteen billion, two hundred twenty-three million, three hundred twenty-one", and thus it is an aban number.