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12401111321 is a prime number
BaseRepresentation
bin10111000110010100…
…11111000100011001
31012000020212201122022
423203022133010121
5200344141030241
65410314504225
7616211464334
oct134312370431
935006781568
1012401111321
115294116535
1224a1135075
1312282a4bc1
14858dd161b
154c8aa354b
hex2e329f119

12401111321 has 2 divisors, whose sum is σ = 12401111322. Its totient is φ = 12401111320.

The previous prime is 12401111299. The next prime is 12401111339. The reversal of 12401111321 is 12311110421.

12401111321 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., 12047257600 + 353853721 = 109760^2 + 18811^2 .

It is a cyclic number.

It is not a de Polignac number, because 12401111321 - 218 = 12400849177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12401111321.

It is not a weakly prime, because it can be changed into another prime (12401111221) 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, 6200555660 + 6200555661.

It is an arithmetic number, because the mean of its divisors is an integer number (6200555661).

Almost surely, 212401111321 is an apocalyptic number.

It is an amenable number.

12401111321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12401111321 is an equidigital number, since it uses as much as digits as its factorization.

12401111321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12401111321 its reverse (12311110421), we get a palindrome (24712221742).

The spelling of 12401111321 in words is "twelve billion, four hundred one million, one hundred eleven thousand, three hundred twenty-one".