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13400200321 is a prime number
BaseRepresentation
bin11000111101011011…
…01101010010000001
31021120212211201002121
430132231231102001
5204420422402241
610053404444241
7653032552264
oct143655552201
937525751077
1013400200321
115757077922
12271b849681
131357283521
14911982cdb
15536654ad1
hex31eb6d481

13400200321 has 2 divisors, whose sum is σ = 13400200322. Its totient is φ = 13400200320.

The previous prime is 13400200279. The next prime is 13400200417. The reversal of 13400200321 is 12300200431.

It is a happy number.

13400200321 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., 12789121921 + 611078400 = 113089^2 + 24720^2 .

It is a cyclic number.

It is not a de Polignac number, because 13400200321 - 213 = 13400192129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13400200295 and 13400200304.

It is not a weakly prime, because it can be changed into another prime (13400200421) 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, 6700100160 + 6700100161.

It is an arithmetic number, because the mean of its divisors is an integer number (6700100161).

Almost surely, 213400200321 is an apocalyptic number.

It is an amenable number.

13400200321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13400200321 is an equidigital number, since it uses as much as digits as its factorization.

13400200321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13400200321 its reverse (12300200431), we get a palindrome (25700400752).

The spelling of 13400200321 in words is "thirteen billion, four hundred million, two hundred thousand, three hundred twenty-one".