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12412144513 is a prime number
BaseRepresentation
bin10111000111101001…
…00100101110000001
31012001000122021100001
423203310210232001
5200410002111023
65411351200001
7616404326146
oct134364445601
935030567301
1012412144513
11529a37197a
1224a4976001
13122a668b12
1485a6643cd
154c9a326ad
hex2e3d24b81

12412144513 has 2 divisors, whose sum is σ = 12412144514. Its totient is φ = 12412144512.

The previous prime is 12412144457. The next prime is 12412144523. The reversal of 12412144513 is 31544121421.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11765307024 + 646837489 = 108468^2 + 25433^2 .

It is a cyclic number.

It is not a de Polignac number, because 12412144513 - 217 = 12412013441 is a prime.

It is a super-2 number, since 2×124121445132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12412144523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6206072256 + 6206072257.

It is an arithmetic number, because the mean of its divisors is an integer number (6206072257).

Almost surely, 212412144513 is an apocalyptic number.

It is an amenable number.

12412144513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12412144513 is an equidigital number, since it uses as much as digits as its factorization.

12412144513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3840, while the sum is 28.

Adding to 12412144513 its reverse (31544121421), we get a palindrome (43956265934).

The spelling of 12412144513 in words is "twelve billion, four hundred twelve million, one hundred forty-four thousand, five hundred thirteen".