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13220103217 is a prime number
BaseRepresentation
bin11000100111111101…
…01100010000110001
31021010022221211022111
430103332230100301
5204033321300332
610023452405321
7645415010656
oct142376542061
937108854274
1013220103217
115674449242
12268b476841
131328b773a9
148d5aa1c2d
1552592c947
hex313fac431

13220103217 has 2 divisors, whose sum is σ = 13220103218. Its totient is φ = 13220103216.

The previous prime is 13220103199. The next prime is 13220103257. The reversal of 13220103217 is 71230102231.

It is a happy number.

13220103217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13216721296 + 3381921 = 114964^2 + 1839^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220103217 - 27 = 13220103089 is a prime.

It is a super-2 number, since 2×132201032172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13220103257) 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, 6610051608 + 6610051609.

It is an arithmetic number, because the mean of its divisors is an integer number (6610051609).

Almost surely, 213220103217 is an apocalyptic number.

It is an amenable number.

13220103217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220103217 is an equidigital number, since it uses as much as digits as its factorization.

13220103217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13220103217 its reverse (71230102231), we get a palindrome (84450205448).

The spelling of 13220103217 in words is "thirteen billion, two hundred twenty million, one hundred three thousand, two hundred seventeen".