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213120000211 is a prime number
BaseRepresentation
bin1100011001111011110…
…0010010000011010011
3202101002200212202022011
43012132330102003103
511442432210001321
6241523405123351
721253212053326
oct3063674220323
9671080782264
10213120000211
1182424758588
1235379559557
1317135517c01
14a45a7667bd
1558251cbae1
hex319ef120d3

213120000211 has 2 divisors, whose sum is σ = 213120000212. Its totient is φ = 213120000210.

The previous prime is 213120000179. The next prime is 213120000239. The reversal of 213120000211 is 112000021312.

213120000211 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 is a cyclic number.

It is not a de Polignac number, because 213120000211 - 25 = 213120000179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120000191 and 213120000200.

It is not a weakly prime, because it can be changed into another prime (213120004211) 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, 106560000105 + 106560000106.

It is an arithmetic number, because the mean of its divisors is an integer number (106560000106).

Almost surely, 2213120000211 is an apocalyptic number.

213120000211 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120000211 is an equidigital number, since it uses as much as digits as its factorization.

213120000211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213120000211 its reverse (112000021312), we get a palindrome (325120021523).

The spelling of 213120000211 in words is "two hundred thirteen billion, one hundred twenty million, two hundred eleven", and thus it is an aban number.