Search a number
-
+
212311020111121 is a prime number
BaseRepresentation
bin110000010001100010000010…
…111011111000010100010001
31000211201201212000220211121201
4300101202002323320110101
5210312000432122023441
62031314200335551201
762501651666546431
oct6021420273702421
91024651760824551
10212311020111121
1161715663a08aa8
121b98b36b08b501
139160ac6926879
143a5dca016c2c1
151982a6bd81c31
hexc11882ef8511

212311020111121 has 2 divisors, whose sum is σ = 212311020111122. Its totient is φ = 212311020111120.

The previous prime is 212311020111059. The next prime is 212311020111199. The reversal of 212311020111121 is 121111020113212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 173538467560000 + 38772552551121 = 13173400^2 + 6226761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212311020111121 is a prime.

It is not a weakly prime, because it can be changed into another prime (212311020111721) 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, 106155510055560 + 106155510055561.

It is an arithmetic number, because the mean of its divisors is an integer number (106155510055561).

Almost surely, 2212311020111121 is an apocalyptic number.

It is an amenable number.

212311020111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212311020111121 is an equidigital number, since it uses as much as digits as its factorization.

212311020111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 212311020111121 its reverse (121111020113212), we get a palindrome (333422040224333).

The spelling of 212311020111121 in words is "two hundred twelve trillion, three hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-one".