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12322003201 is a prime number
BaseRepresentation
bin10110111100111001…
…01101100100000001
31011210202000121200221
423132130231210001
5200213413100301
65354411143041
7614231204404
oct133634554401
934722017627
1012322003201
1152534a4422
12247a744a81
131214a97771
1484c6bbd3b
154c1b78da1
hex2de72d901

12322003201 has 2 divisors, whose sum is σ = 12322003202. Its totient is φ = 12322003200.

The previous prime is 12322003171. The next prime is 12322003219. The reversal of 12322003201 is 10230022321.

12322003201 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., 11919398976 + 402604225 = 109176^2 + 20065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12322003201 is a prime.

It is not a weakly prime, because it can be changed into another prime (12322003241) 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, 6161001600 + 6161001601.

It is an arithmetic number, because the mean of its divisors is an integer number (6161001601).

Almost surely, 212322003201 is an apocalyptic number.

It is an amenable number.

12322003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12322003201 is an equidigital number, since it uses as much as digits as its factorization.

12322003201 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 12322003201 its reverse (10230022321), we get a palindrome (22552025522).

The spelling of 12322003201 in words is "twelve billion, three hundred twenty-two million, three thousand, two hundred one".