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12220100211 = 31119314314621
BaseRepresentation
bin10110110000101111…
…11110111001110011
31011112122021102002010
423120113332321303
5200011321201321
65340331054003
7611553065214
oct133027767163
934478242063
1012220100211
115200a23180
1224505a1303
1311c9938a37
1483cd5340b
154b7c4a676
hex2d85fee73

12220100211 has 64 divisors (see below), whose sum is σ = 19764264960. Its totient is φ = 6631632000.

The previous prime is 12220100203. The next prime is 12220100219. The reversal of 12220100211 is 11200102221.

It is an interprime number because it is at equal distance from previous prime (12220100203) and next prime (12220100219).

It is not a de Polignac number, because 12220100211 - 23 = 12220100203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12220100219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828481 + ... + 843101.

It is an arithmetic number, because the mean of its divisors is an integer number (308816640).

Almost surely, 212220100211 is an apocalyptic number.

12220100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220100211 is a deficient number, since it is larger than the sum of its proper divisors (7544164749).

12220100211 is a wasteful number, since it uses less digits than its factorization.

12220100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14728.

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

Adding to 12220100211 its reverse (11200102221), we get a palindrome (23420202432).

The spelling of 12220100211 in words is "twelve billion, two hundred twenty million, one hundred thousand, two hundred eleven".

Divisors: 1 3 11 19 31 33 43 57 93 129 209 341 473 589 627 817 1023 1333 1419 1767 2451 3999 6479 8987 14621 14663 19437 25327 26961 43863 43989 75981 160831 277799 278597 453251 482493 628703 833397 835791 1359753 1886109 3055789 4985761 6915733 8611769 9167367 11945357 14957283 19489793 20747199 25835307 35836071 58469379 94729459 131398927 214387723 284188377 370306067 394196781 643163169 1110918201 4073366737 12220100211