Search a number
-
+
211033013 is a prime number
BaseRepresentation
bin11001001010000…
…01101110110101
3112201002120212112
430211001232311
5413011024023
632535100405
75141515412
oct1445015665
9481076775
10211033013
11a9139254
125a811705
133494b109
1420055109
15137d8478
hexc941bb5

211033013 has 2 divisors, whose sum is σ = 211033014. Its totient is φ = 211033012.

The previous prime is 211032989. The next prime is 211033063. The reversal of 211033013 is 310330112.

211033013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157201444 + 53831569 = 12538^2 + 7337^2 .

It is a cyclic number.

It is not a de Polignac number, because 211033013 - 224 = 194255797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211033063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105516506 + 105516507.

It is an arithmetic number, because the mean of its divisors is an integer number (105516507).

Almost surely, 2211033013 is an apocalyptic number.

It is an amenable number.

211033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211033013 is an equidigital number, since it uses as much as digits as its factorization.

211033013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 211033013 is about 14526.9753562123. The cubic root of 211033013 is about 595.3652283003.

Adding to 211033013 its reverse (310330112), we get a palindrome (521363125).

The spelling of 211033013 in words is "two hundred eleven million, thirty-three thousand, thirteen".