Search a number
-
+
211133213 is a prime number
BaseRepresentation
bin11001001010110…
…10001100011101
3112201021200022122
430211122030131
5413022230323
632541152325
75142413504
oct1445321435
9481250278
10211133213
11a91a7565
125a85b6a5
13349848c5
142007d83b
1513807ec8
hexc95a31d

211133213 has 2 divisors, whose sum is σ = 211133214. Its totient is φ = 211133212.

The previous prime is 211133189. The next prime is 211133249. The reversal of 211133213 is 312331112.

211133213 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., 208889209 + 2244004 = 14453^2 + 1498^2 .

It is a cyclic number.

It is not a de Polignac number, because 211133213 - 218 = 210871069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211133191 and 211133200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211133113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105566606 + 105566607.

It is an arithmetic number, because the mean of its divisors is an integer number (105566607).

Almost surely, 2211133213 is an apocalyptic number.

It is an amenable number.

211133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

211133213 is an equidigital number, since it uses as much as digits as its factorization.

211133213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108, while the sum is 17.

The square root of 211133213 is about 14530.4237033887. The cubic root of 211133213 is about 595.4594412955.

Adding to 211133213 its reverse (312331112), we get a palindrome (523464325).

The spelling of 211133213 in words is "two hundred eleven million, one hundred thirty-three thousand, two hundred thirteen".