Search a number
-
+
211313101201 is a prime number
BaseRepresentation
bin1100010011001100111…
…1100000100110010001
3202012102202212202211121
43010303033200212101
511430232123214301
6241024221042241
721160351503226
oct3046317404621
9665382782747
10211313101201
1181687811614
1234b543b6381
1316c080808b7
14a3287b594d
15576b75e3a1
hex31333e0991

211313101201 has 2 divisors, whose sum is σ = 211313101202. Its totient is φ = 211313101200.

The previous prime is 211313101187. The next prime is 211313101271. The reversal of 211313101201 is 102101313112.

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., 211003341201 + 309760000 = 459351^2 + 17600^2 .

It is a cyclic number.

It is not a de Polignac number, because 211313101201 - 27 = 211313101073 is a prime.

It is not a weakly prime, because it can be changed into another prime (211313101271) 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, 105656550600 + 105656550601.

It is an arithmetic number, because the mean of its divisors is an integer number (105656550601).

Almost surely, 2211313101201 is an apocalyptic number.

It is an amenable number.

211313101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211313101201 is an equidigital number, since it uses as much as digits as its factorization.

211313101201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 211313101201 its reverse (102101313112), we get a palindrome (313414414313).

The spelling of 211313101201 in words is "two hundred eleven billion, three hundred thirteen million, one hundred one thousand, two hundred one".