Search a number
-
+
311132312201 is a prime number
BaseRepresentation
bin1001000011100001110…
…11100101001010001001
31002202002100100002012102
410201300323211022021
520044144332442301
6354533205123145
731323102006134
oct4416073451211
91082070302172
10311132312201
1110aa50096217
12503716b94b5
13234552a12a9
14110b781521b
15815eb86b6b
hex4870ee5289

311132312201 has 2 divisors, whose sum is σ = 311132312202. Its totient is φ = 311132312200.

The previous prime is 311132312191. The next prime is 311132312203. The reversal of 311132312201 is 102213231113.

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., 307048974400 + 4083337801 = 554120^2 + 63901^2 .

It is a cyclic number.

It is not a de Polignac number, because 311132312201 - 26 = 311132312137 is a prime.

Together with 311132312203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311132312203) 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, 155566156100 + 155566156101.

It is an arithmetic number, because the mean of its divisors is an integer number (155566156101).

Almost surely, 2311132312201 is an apocalyptic number.

It is an amenable number.

311132312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

311132312201 is an equidigital number, since it uses as much as digits as its factorization.

311132312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 311132312201 its reverse (102213231113), we get a palindrome (413345543314).

The spelling of 311132312201 in words is "three hundred eleven billion, one hundred thirty-two million, three hundred twelve thousand, two hundred one".