Search a number
-
+
211132327141 is a prime number
BaseRepresentation
bin1100010010100001110…
…1111010010011100101
3202011222011201111110001
43010220131322103211
511424344333432031
6240554242301301
721153025112161
oct3045035722345
9664864644401
10211132327141
11815a477036a
1234b03957831
1316ba97985b8
14a30c799ca1
15575a951861
hex312877a4e5

211132327141 has 2 divisors, whose sum is σ = 211132327142. Its totient is φ = 211132327140.

The previous prime is 211132327139. The next prime is 211132327183. The reversal of 211132327141 is 141723231112.

It is a happy number.

211132327141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169479599041 + 41652728100 = 411679^2 + 204090^2 .

It is a cyclic number.

It is not a de Polignac number, because 211132327141 - 21 = 211132327139 is a prime.

Together with 211132327139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211132327541) 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, 105566163570 + 105566163571.

It is an arithmetic number, because the mean of its divisors is an integer number (105566163571).

Almost surely, 2211132327141 is an apocalyptic number.

It is an amenable number.

211132327141 is a deficient number, since it is larger than the sum of its proper divisors (1).

211132327141 is an equidigital number, since it uses as much as digits as its factorization.

211132327141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

Adding to 211132327141 its reverse (141723231112), we get a palindrome (352855558253).

The spelling of 211132327141 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred twenty-seven thousand, one hundred forty-one".