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213212033 is a prime number
BaseRepresentation
bin11001011010101…
…01101110000001
3112212012021220222
430231111232001
5414040241113
633053512425
75166162266
oct1455255601
9485167828
10213212033
11aa3973a1
125b4a2715
1335231b88
142046126d
1513ab8e08
hexcb55b81

213212033 has 2 divisors, whose sum is σ = 213212034. Its totient is φ = 213212032.

The previous prime is 213212029. The next prime is 213212059. The reversal of 213212033 is 330212312.

213212033 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., 125171344 + 88040689 = 11188^2 + 9383^2 .

It is a cyclic number.

It is not a de Polignac number, because 213212033 - 22 = 213212029 is a prime.

It is not a weakly prime, because it can be changed into another prime (213212933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606016 + 106606017.

It is an arithmetic number, because the mean of its divisors is an integer number (106606017).

Almost surely, 2213212033 is an apocalyptic number.

It is an amenable number.

213212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212033 is an equidigital number, since it uses as much as digits as its factorization.

213212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213212033 is about 14601.7818433231. The cubic root of 213212033 is about 597.4073622595.

Adding to 213212033 its reverse (330212312), we get a palindrome (543424345).

The spelling of 213212033 in words is "two hundred thirteen million, two hundred twelve thousand, thirty-three".