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211211231321321 = 711193710913576401
BaseRepresentation
bin110000000001100001110010…
…011010100101110011101001
31000200211121002212021122210222
4300001201302122211303221
5210140441100204240241
62025113033345215425
762326336131226160
oct6001416232456351
91020747085248728
10211211231321321
11613311a88a73a0
121b83219a031575
1390b119782c25a
143a2296cb643d7
15196414ec01a4b
hexc018726a5ce9

211211231321321 has 64 divisors (see below), whose sum is σ = 284940244592640. Its totient is φ = 151564970880000.

The previous prime is 211211231321309. The next prime is 211211231321323. The reversal of 211211231321321 is 123123132112112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211231321321 is a prime.

It is a super-2 number, since 2×2112112313213212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211231321323) 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, 57268721 + ... + 60845121.

It is an arithmetic number, because the mean of its divisors is an integer number (4452191321760).

Almost surely, 2211211231321321 is an apocalyptic number.

It is an amenable number.

211211231321321 is a deficient number, since it is larger than the sum of its proper divisors (73729013271319).

211211231321321 is a wasteful number, since it uses less digits than its factorization.

211211231321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577566.

The product of its digits is 864, while the sum is 26.

Adding to 211211231321321 its reverse (123123132112112), we get a palindrome (334334363433433).

It can be divided in two parts, 2112112 and 31321321, that added together give a palindrome (33433433).

The spelling of 211211231321321 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 19 37 77 133 209 259 407 703 1091 1463 2849 4921 7637 7733 12001 20729 40367 54131 84007 145103 228019 282569 444037 766973 1596133 3108259 3576401 5368811 8436703 25034807 39340411 59056921 67951619 132326837 275382877 475661333 747467809 926287859 1455595207 2514209903 3901853491 5232274663 10189166449 17599469321 27312974437 27656308933 42920388401 74135216329 144368579167 193594162531 300442718807 518946514303 815487379619 1010580054169 1588054370837 2743003004173 5708411657333 11116380595859 19201021029211 30173033045903 211211231321321