Search a number
-
+
211131029 is a prime number
BaseRepresentation
bin11001001010110…
…01101010010101
3112201021120022202
430211121222111
5413022143104
632541134245
75142404234
oct1445315225
9481246282
10211131029
11a91a595a
125a85a385
1334983905
142007cb1b
151380751e
hexc959a95

211131029 has 2 divisors, whose sum is σ = 211131030. Its totient is φ = 211131028.

The previous prime is 211131013. The next prime is 211131061. The reversal of 211131029 is 920131112.

211131029 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., 172318129 + 38812900 = 13127^2 + 6230^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131029 - 24 = 211131013 is a prime.

It is a super-2 number, since 2×2111310292 = 89152622813197682, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211131029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211131829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105565514 + 105565515.

It is an arithmetic number, because the mean of its divisors is an integer number (105565515).

Almost surely, 2211131029 is an apocalyptic number.

It is an amenable number.

211131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131029 is an equidigital number, since it uses as much as digits as its factorization.

211131029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 211131029 is about 14530.3485505338. The cubic root of 211131029 is about 595.4573881085.

The spelling of 211131029 in words is "two hundred eleven million, one hundred thirty-one thousand, twenty-nine".