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213211213217 is a prime number
BaseRepresentation
bin1100011010010001100…
…0001110110110100001
3202101100001111212000122
43012210120032312201
511443124032310332
6241540424130025
721255400260422
oct3064430166641
9671301455018
10213211213217
1182471198232
12353a4006915
131714b3a2cc2
14a46890b649
15582d1e7c12
hex31a460eda1

213211213217 has 2 divisors, whose sum is σ = 213211213218. Its totient is φ = 213211213216.

The previous prime is 213211213183. The next prime is 213211213231. The reversal of 213211213217 is 712312112312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182808408721 + 30402804496 = 427561^2 + 174364^2 .

It is a cyclic number.

It is not a de Polignac number, because 213211213217 - 212 = 213211209121 is a prime.

It is not a weakly prime, because it can be changed into another prime (213211213247) 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, 106605606608 + 106605606609.

It is an arithmetic number, because the mean of its divisors is an integer number (106605606609).

Almost surely, 2213211213217 is an apocalyptic number.

It is an amenable number.

213211213217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213211213217 is an equidigital number, since it uses as much as digits as its factorization.

213211213217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 26.

Adding to 213211213217 its reverse (712312112312), we get a palindrome (925523325529).

The spelling of 213211213217 in words is "two hundred thirteen billion, two hundred eleven million, two hundred thirteen thousand, two hundred seventeen".