Search a number
-
+
12031330177 is a prime number
BaseRepresentation
bin10110011010001111…
…11000011110000001
31011001111001220021101
423031013320132001
5144120010031202
65305505054401
7604101422236
oct131507703601
934044056241
1012031330177
115114410489
1223b9327401
1311997b40a9
14821c5578d
154a63ad887
hex2cd1f8781

12031330177 has 2 divisors, whose sum is σ = 12031330178. Its totient is φ = 12031330176.

The previous prime is 12031330127. The next prime is 12031330217. The reversal of 12031330177 is 77103313021.

12031330177 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., 11111057281 + 920272896 = 105409^2 + 30336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12031330177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12031330127) 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, 6015665088 + 6015665089.

It is an arithmetic number, because the mean of its divisors is an integer number (6015665089).

Almost surely, 212031330177 is an apocalyptic number.

It is an amenable number.

12031330177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031330177 is an equidigital number, since it uses as much as digits as its factorization.

12031330177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

Adding to 12031330177 its reverse (77103313021), we get a palindrome (89134643198).

The spelling of 12031330177 in words is "twelve billion, thirty-one million, three hundred thirty thousand, one hundred seventy-seven".