Search a number
-
+
211021102133 is a prime number
BaseRepresentation
bin1100010010000111010…
…1100111110000110101
3202011200102102200102022
43010201311213300311
511424132400232013
6240535230322525
721150204526052
oct3044165476065
9664612380368
10211021102133
1181547a02376
1234a92659445
1316b8c72479a
14a2dbac6029
155750cd1008
hex3121d67c35

211021102133 has 2 divisors, whose sum is σ = 211021102134. Its totient is φ = 211021102132.

The previous prime is 211021102099. The next prime is 211021102139. The reversal of 211021102133 is 331201120112.

211021102133 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., 165882700369 + 45138401764 = 407287^2 + 212458^2 .

It is a cyclic number.

It is not a de Polignac number, because 211021102133 - 212 = 211021098037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211021102139) 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, 105510551066 + 105510551067.

It is an arithmetic number, because the mean of its divisors is an integer number (105510551067).

Almost surely, 2211021102133 is an apocalyptic number.

It is an amenable number.

211021102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211021102133 is an equidigital number, since it uses as much as digits as its factorization.

211021102133 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 211021102133 its reverse (331201120112), we get a palindrome (542222222245).

The spelling of 211021102133 in words is "two hundred eleven billion, twenty-one million, one hundred two thousand, one hundred thirty-three".