Search a number
-
+
201114130241 is a prime number
BaseRepresentation
bin1011101101001101010…
…1100001011101000001
3201020002222201100212102
42323103111201131001
511243340204131431
6232220205440145
720346536621063
oct2732325413501
9636088640772
10201114130241
11783237577a2
1232b88870055
1315c710a963b
149a3c05b733
15537119bdcb
hex2ed3561741

201114130241 has 2 divisors, whose sum is σ = 201114130242. Its totient is φ = 201114130240.

The previous prime is 201114130181. The next prime is 201114130289. The reversal of 201114130241 is 142031411102.

201114130241 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., 193718818225 + 7395312016 = 440135^2 + 85996^2 .

It is a cyclic number.

It is not a de Polignac number, because 201114130241 - 222 = 201109935937 is a prime.

It is not a weakly prime, because it can be changed into another prime (201114130291) 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, 100557065120 + 100557065121.

It is an arithmetic number, because the mean of its divisors is an integer number (100557065121).

Almost surely, 2201114130241 is an apocalyptic number.

It is an amenable number.

201114130241 is a deficient number, since it is larger than the sum of its proper divisors (1).

201114130241 is an equidigital number, since it uses as much as digits as its factorization.

201114130241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 201114130241 its reverse (142031411102), we get a palindrome (343145541343).

The spelling of 201114130241 in words is "two hundred one billion, one hundred fourteen million, one hundred thirty thousand, two hundred forty-one".