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211106149 is a prime number
BaseRepresentation
bin11001001010100…
…11100101100101
3112201020022012021
430211103211211
5413020344044
632540423141
75142241552
oct1445234545
9481208167
10211106149
11a91891a1
125a847ab1
13349754a7
1420073a29
15137eee84
hexc953965

211106149 has 2 divisors, whose sum is σ = 211106150. Its totient is φ = 211106148.

The previous prime is 211106143. The next prime is 211106179. The reversal of 211106149 is 941601112.

211106149 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., 206841924 + 4264225 = 14382^2 + 2065^2 .

It is a cyclic number.

It is not a de Polignac number, because 211106149 - 25 = 211106117 is a prime.

It is a super-4 number, since 4×2111061494 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211106143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105553074 + 105553075.

It is an arithmetic number, because the mean of its divisors is an integer number (105553075).

Almost surely, 2211106149 is an apocalyptic number.

It is an amenable number.

211106149 is a deficient number, since it is larger than the sum of its proper divisors (1).

211106149 is an equidigital number, since it uses as much as digits as its factorization.

211106149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 211106149 is about 14529.4923861778. The cubic root of 211106149 is about 595.4339973231.

The spelling of 211106149 in words is "two hundred eleven million, one hundred six thousand, one hundred forty-nine".