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213327617 is a prime number
BaseRepresentation
bin11001011011100…
…01111100000001
3112212102011110212
430231301330001
5414102440432
633100203505
75200153256
oct1455617401
9485364425
10213327617
11aa466218
125b539595
1335272679
142049142d
1513add2b2
hexcb71f01

213327617 has 2 divisors, whose sum is σ = 213327618. Its totient is φ = 213327616.

The previous prime is 213327581. The next prime is 213327629. The reversal of 213327617 is 716723312.

213327617 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., 212897281 + 430336 = 14591^2 + 656^2 .

It is a cyclic number.

It is not a de Polignac number, because 213327617 - 216 = 213262081 is a prime.

It is not a weakly prime, because it can be changed into another prime (213327017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106663808 + 106663809.

It is an arithmetic number, because the mean of its divisors is an integer number (106663809).

Almost surely, 2213327617 is an apocalyptic number.

It is an amenable number.

213327617 is a deficient number, since it is larger than the sum of its proper divisors (1).

213327617 is an equidigital number, since it uses as much as digits as its factorization.

213327617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584, while the sum is 32.

The square root of 213327617 is about 14605.7391801990. The cubic root of 213327617 is about 597.5152959093.

The spelling of 213327617 in words is "two hundred thirteen million, three hundred twenty-seven thousand, six hundred seventeen".