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12223231003201 is a prime number
BaseRepresentation
bin1011000111011111000101…
…0101111000101001000001
31121021112021222121000200211
42301313301111320221001
53100231134114100301
641555135205114121
72401046026150561
oct261676125705101
947245258530624
1012223231003201
1139929302735a9
121454b3b3b8941
136a88518bb9aa
14303871120da1
15162e4aad5051
hexb1df1578a41

12223231003201 has 2 divisors, whose sum is σ = 12223231003202. Its totient is φ = 12223231003200.

The previous prime is 12223231003187. The next prime is 12223231003211. The reversal of 12223231003201 is 10230013232221.

12223231003201 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., 7993195546176 + 4230035457025 = 2827224^2 + 2056705^2 .

It is an emirp because it is prime and its reverse (10230013232221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12223231003201 - 217 = 12223230872129 is a prime.

It is a super-2 number, since 2×122232310032012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12223231003211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111615501600 + 6111615501601.

It is an arithmetic number, because the mean of its divisors is an integer number (6111615501601).

Almost surely, 212223231003201 is an apocalyptic number.

It is an amenable number.

12223231003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223231003201 is an equidigital number, since it uses as much as digits as its factorization.

12223231003201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12223231003201 its reverse (10230013232221), we get a palindrome (22453244235422).

The spelling of 12223231003201 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-one million, three thousand, two hundred one".