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213110033 is a prime number
BaseRepresentation
bin11001011001111…
…00110100010001
3112212000010000012
430230330310101
5414024010113
633051404305
75165256023
oct1454746421
9485003005
10213110033
11aa3277a4
125b453695
13351c7616
1420436013
1513a98aa8
hexcb3cd11

213110033 has 2 divisors, whose sum is σ = 213110034. Its totient is φ = 213110032.

The previous prime is 213109993. The next prime is 213110041. The reversal of 213110033 is 330011312.

213110033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134397649 + 78712384 = 11593^2 + 8872^2 .

It is a cyclic number.

It is not a de Polignac number, because 213110033 - 216 = 213044497 is a prime.

It is a super-2 number, since 2×2131100332 = 90831772330522178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213118033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106555016 + 106555017.

It is an arithmetic number, because the mean of its divisors is an integer number (106555017).

Almost surely, 2213110033 is an apocalyptic number.

It is an amenable number.

213110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213110033 is an equidigital number, since it uses as much as digits as its factorization.

213110033 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 213110033 is about 14598.2887010773. The cubic root of 213110033 is about 597.3120810977.

Adding to 213110033 its reverse (330011312), we get a palindrome (543121345).

The spelling of 213110033 in words is "two hundred thirteen million, one hundred ten thousand, thirty-three".