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12221000211 = 373757727259
BaseRepresentation
bin10110110000110110…
…11010101000010011
31011112200222010122110
423120123122220103
5200012034001321
65340402240403
7611563534140
oct133033325023
934480863573
1012221000211
115201488382
122450956103
1311c9b92594
1483d1093c7
154b7d77176
hex2d86daa13

12221000211 has 32 divisors (see below), whose sum is σ = 19159636480. Its totient is φ = 6782662656.

The previous prime is 12221000179. The next prime is 12221000219. The reversal of 12221000211 is 11200012221.

12221000211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221000211 - 25 = 12221000179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221000219) 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 in 31 ways as a sum of consecutive naturals, for example, 434700 + ... + 461958.

It is an arithmetic number, because the mean of its divisors is an integer number (598738640).

Almost surely, 212221000211 is an apocalyptic number.

12221000211 is a deficient number, since it is larger than the sum of its proper divisors (6938636269).

12221000211 is a wasteful number, since it uses less digits than its factorization.

12221000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221000211 its reverse (11200012221), we get a palindrome (23421012432).

The spelling of 12221000211 in words is "twelve billion, two hundred twenty-one million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 21 37 111 259 577 777 1731 4039 12117 21349 27259 64047 81777 149443 190813 448329 572439 1008583 3025749 7060081 15728443 21180243 47185329 110099101 330297303 581952391 1745857173 4073666737 12221000211