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213212122011 = 32714926984437
BaseRepresentation
bin1100011010010001101…
…1101100101110011011
3202101100010020000122200
43012210123230232123
511443124300401021
6241540455421243
721255411064110
oct3064433545633
9671303200580
10213212122011
1182471758aa9
12353a4384823
131714b630855
14a468aa6907
15582d327126
hex31a46ecb9b

213212122011 has 48 divisors (see below), whose sum is σ = 355652856000. Its totient is φ = 120566502144.

The previous prime is 213212122007. The next prime is 213212122021. The reversal of 213212122011 is 110221212312.

It is not a de Polignac number, because 213212122011 - 22 = 213212122007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213212122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482885 + ... + 2567321.

It is an arithmetic number, because the mean of its divisors is an integer number (7409434500).

Almost surely, 2213212122011 is an apocalyptic number.

213212122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213212122011 is a deficient number, since it is larger than the sum of its proper divisors (142440733989).

213212122011 is a wasteful number, since it uses less digits than its factorization.

213212122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84868 (or 84865 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213212122011 its reverse (110221212312), we get a palindrome (323433334323).

The spelling of 213212122011 in words is "two hundred thirteen billion, two hundred twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 7 9 21 63 149 269 447 807 1043 1341 1883 2421 3129 5649 9387 16947 40081 84437 120243 253311 280567 360729 591059 759933 841701 1773177 2525103 5319531 12581113 22713553 37743339 68140659 88067791 113230017 158994871 204421977 264203373 476984613 792610119 1430953839 3384319397 10152958191 23690235779 30458874573 71070707337 213212122011