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212132213 is a prime number
BaseRepresentation
bin11001010010011…
…10000101110101
3112210011102200122
430221032011311
5413301212323
633014421325
75154044156
oct1451160565
9483142618
10212132213
11a981a087
125b061845
1334c44527
142025d92d
1513953ec8
hexca4e175

212132213 has 2 divisors, whose sum is σ = 212132214. Its totient is φ = 212132212.

The previous prime is 212132189. The next prime is 212132227. The reversal of 212132213 is 312231212.

212132213 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., 141538609 + 70593604 = 11897^2 + 8402^2 .

It is a cyclic number.

It is not a de Polignac number, because 212132213 - 210 = 212131189 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212132191 and 212132200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212132413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066106 + 106066107.

It is an arithmetic number, because the mean of its divisors is an integer number (106066107).

Almost surely, 2212132213 is an apocalyptic number.

It is an amenable number.

212132213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212132213 is an equidigital number, since it uses as much as digits as its factorization.

212132213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 17.

The square root of 212132213 is about 14564.7592839703. The cubic root of 212132213 is about 596.3971245249.

Adding to 212132213 its reverse (312231212), we get a palindrome (524363425).

The spelling of 212132213 in words is "two hundred twelve million, one hundred thirty-two thousand, two hundred thirteen".