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211122013 is a prime number
BaseRepresentation
bin11001001010101…
…11011101011101
3112201021002221211
430211113131131
5413021401023
632541024421
75142336034
oct1445273535
9481232854
10211122013
11a919a103
125a855111
133497c78b
142007971b
1513804a0d
hexc95775d

211122013 has 2 divisors, whose sum is σ = 211122014. Its totient is φ = 211122012.

The previous prime is 211122011. The next prime is 211122047. The reversal of 211122013 is 310221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184362084 + 26759929 = 13578^2 + 5173^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122013 - 21 = 211122011 is a prime.

Together with 211122011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 211121984 and 211122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561006 + 105561007.

It is an arithmetic number, because the mean of its divisors is an integer number (105561007).

Almost surely, 2211122013 is an apocalyptic number.

It is an amenable number.

211122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122013 is an equidigital number, since it uses as much as digits as its factorization.

211122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211122013 is about 14530.0383000183. The cubic root of 211122013 is about 595.4489119816.

Adding to 211122013 its reverse (310221112), we get a palindrome (521343125).

Subtracting 211122013 from its reverse (310221112), we obtain a palindrome (99099099).

The spelling of 211122013 in words is "two hundred eleven million, one hundred twenty-two thousand, thirteen".