Search a number
-
+
12324342133 is a prime number
BaseRepresentation
bin10110111101001011…
…01000100101110101
31011210220102110010001
423132211220211311
5200220012422013
65354533231301
7614260115425
oct133645504565
934726373101
1012324342133
115254851724
12247b492531
13121540624c
1484cb2a485
154c1e8bddd
hex2de968975

12324342133 has 2 divisors, whose sum is σ = 12324342134. Its totient is φ = 12324342132.

The previous prime is 12324342119. The next prime is 12324342157. The reversal of 12324342133 is 33124342321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12139191684 + 185150449 = 110178^2 + 13607^2 .

It is a cyclic number.

It is not a de Polignac number, because 12324342133 - 221 = 12322244981 is a prime.

It is a super-2 number, since 2×123243421332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12324349133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6162171066 + 6162171067.

It is an arithmetic number, because the mean of its divisors is an integer number (6162171067).

Almost surely, 212324342133 is an apocalyptic number.

It is an amenable number.

12324342133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12324342133 is an equidigital number, since it uses as much as digits as its factorization.

12324342133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 28.

Adding to 12324342133 its reverse (33124342321), we get a palindrome (45448684454).

The spelling of 12324342133 in words is "twelve billion, three hundred twenty-four million, three hundred forty-two thousand, one hundred thirty-three".