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213220022329 is a prime number
BaseRepresentation
bin1100011010010011100…
…1110101100000111001
3202101100200002101212001
43012210321311200321
511443133311203304
6241541341021001
721255535200106
oct3064471654071
9671320071761
10213220022329
1182476164696
12353a6b54761
13171501687b2
14a469b61aad
15582dd87da4
hex31a4e75839

213220022329 has 2 divisors, whose sum is σ = 213220022330. Its totient is φ = 213220022328.

The previous prime is 213220022203. The next prime is 213220022399. The reversal of 213220022329 is 923220022312.

213220022329 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., 211440869929 + 1779152400 = 459827^2 + 42180^2 .

It is a cyclic number.

It is not a de Polignac number, because 213220022329 - 227 = 213085804601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213220022297 and 213220022306.

It is not a weakly prime, because it can be changed into another prime (213220022399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106610011164 + 106610011165.

It is an arithmetic number, because the mean of its divisors is an integer number (106610011165).

Almost surely, 2213220022329 is an apocalyptic number.

It is an amenable number.

213220022329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213220022329 is an equidigital number, since it uses as much as digits as its factorization.

213220022329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 213220022329 in words is "two hundred thirteen billion, two hundred twenty million, twenty-two thousand, three hundred twenty-nine".