Search a number
-
+
211122012001073 is a prime number
BaseRepresentation
bin110000000000001110101100…
…100001111001001100110001
31000200112001211000101120222112
4300000032230201321030301
5210133010340033013243
62025004040253415105
762320030161430655
oct6000165441711461
91020461730346875
10211122012001073
11612a7384920588
121b818a3a79a495
1390a5949686c74
143a1c507802a65
151961b7c182818
hexc003ac879331

211122012001073 has 2 divisors, whose sum is σ = 211122012001074. Its totient is φ = 211122012001072.

The previous prime is 211122012001057. The next prime is 211122012001171. The reversal of 211122012001073 is 370100210221112.

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., 211098611568289 + 23400432784 = 14529233^2 + 152972^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122012001073 - 24 = 211122012001057 is a prime.

It is not a weakly prime, because it can be changed into another prime (211122012001673) 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, 105561006000536 + 105561006000537.

It is an arithmetic number, because the mean of its divisors is an integer number (105561006000537).

Almost surely, 2211122012001073 is an apocalyptic number.

It is an amenable number.

211122012001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122012001073 is an equidigital number, since it uses as much as digits as its factorization.

211122012001073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 211122012001073 its reverse (370100210221112), we get a palindrome (581222222222185).

The spelling of 211122012001073 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one thousand, seventy-three".