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213401213 is a prime number
BaseRepresentation
bin11001011100000…
…11111001111101
3112212112220102122
430232003321331
5414112314323
633101532325
75200610654
oct1456037175
9485486378
10213401213
11aa506543
125b5740a5
133529a00c
14204b019b
1513b04ec8
hexcb83e7d

213401213 has 2 divisors, whose sum is σ = 213401214. Its totient is φ = 213401212.

The previous prime is 213401191. The next prime is 213401233. The reversal of 213401213 is 312104312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169338169 + 44063044 = 13013^2 + 6638^2 .

It is a cyclic number.

It is not a de Polignac number, because 213401213 - 212 = 213397117 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213401191 and 213401200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213401233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106700606 + 106700607.

It is an arithmetic number, because the mean of its divisors is an integer number (106700607).

Almost surely, 2213401213 is an apocalyptic number.

It is an amenable number.

213401213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213401213 is an equidigital number, since it uses as much as digits as its factorization.

213401213 is an odious number, because the sum of its binary digits is odd.

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

The square root of 213401213 is about 14608.2583835309. The cubic root of 213401213 is about 597.5840003748.

Adding to 213401213 its reverse (312104312), we get a palindrome (525505525).

The spelling of 213401213 in words is "two hundred thirteen million, four hundred one thousand, two hundred thirteen".