Search a number
-
+
211321010213 is a prime number
BaseRepresentation
bin1100010011001110110…
…1101011100000100101
3202012110022202120221222
43010303231223200211
511430241134311323
6241025102350125
721160505643455
oct3046355534045
9665408676858
10211321010213
1181691223795
1234b56b8b345
1316c098bc7a1
14a329873d65
15576c2c29c8
hex3133b6b825

211321010213 has 2 divisors, whose sum is σ = 211321010214. Its totient is φ = 211321010212.

The previous prime is 211321010209. The next prime is 211321010231. The reversal of 211321010213 is 312010123112.

211321010213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (211321010231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124141361569 + 87179648644 = 352337^2 + 295262^2 .

It is a cyclic number.

It is not a de Polignac number, because 211321010213 - 22 = 211321010209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211321010191 and 211321010200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211321010233) 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, 105660505106 + 105660505107.

It is an arithmetic number, because the mean of its divisors is an integer number (105660505107).

Almost surely, 2211321010213 is an apocalyptic number.

It is an amenable number.

211321010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

211321010213 is an equidigital number, since it uses as much as digits as its factorization.

211321010213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211321010213 its reverse (312010123112), we get a palindrome (523331133325).

The spelling of 211321010213 in words is "two hundred eleven billion, three hundred twenty-one million, ten thousand, two hundred thirteen".