Search a number
-
+
211001012021 is a prime number
BaseRepresentation
bin1100010010000010100…
…0111110111100110101
3202011122000121222222002
43010200220332330311
511424112224341041
6240533231545045
721146542003232
oct3044050767465
9664560558862
10211001012021
1181537630378
1234a8798b185
1316b8850c347
14a2d9176789
15574e16359b
hex3120a3ef35

211001012021 has 2 divisors, whose sum is σ = 211001012022. Its totient is φ = 211001012020.

The previous prime is 211001011993. The next prime is 211001012039. The reversal of 211001012021 is 120210100112.

211001012021 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., 135148140625 + 75852871396 = 367625^2 + 275414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211001012021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211001011993 and 211001012011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211001012041) 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, 105500506010 + 105500506011.

It is an arithmetic number, because the mean of its divisors is an integer number (105500506011).

Almost surely, 2211001012021 is an apocalyptic number.

It is an amenable number.

211001012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001012021 is an equidigital number, since it uses as much as digits as its factorization.

211001012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211001012021 its reverse (120210100112), we get a palindrome (331211112133).

The spelling of 211001012021 in words is "two hundred eleven billion, one million, twelve thousand, twenty-one".