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211211222111022 = 237378831237124433
BaseRepresentation
bin110000000001100001110001…
…110111011101001100101110
31000200211121002012221201122210
4300001201301313131030232
5210140441040330023042
62025113032415551250
762326335660026040
oct6001416167351456
91020747065851583
10211211222111022
11613311a3686581
121b832196b2b526
1390b1195955c83
143a2296b847a90
15196414ded2a9c
hexc01871ddd32e

211211222111022 has 128 divisors (see below), whose sum is σ = 496783086418944. Its totient is φ = 58600710862848.

The previous prime is 211211222111017. The next prime is 211211222111041. The reversal of 211211222111022 is 220111222112112.

It is a super-2 number, since 2×2112112221110222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 211211222111022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1697326918 + ... + 1697451350.

It is an arithmetic number, because the mean of its divisors is an integer number (3881117862648).

Almost surely, 2211211222111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211222111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248391543209472).

211211222111022 is an abundant number, since it is smaller than the sum of its proper divisors (285571864307922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211211222111022 is a wasteful number, since it uses less digits than its factorization.

211211222111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126602.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211211222111022 its reverse (220111222112112), we get a palindrome (431322444223134).

The spelling of 211211222111022 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 883 1237 1554 1766 2474 2649 3711 5298 6181 7422 8659 12362 17318 18543 25977 32671 37086 45769 51954 65342 91538 98013 124433 137307 196026 228697 248866 274614 320383 373299 457394 640766 686091 746598 871031 961149 1092271 1372182 1742062 1922298 2184542 2613093 3276813 4604021 5226186 6553626 7645897 9208042 13812063 15291794 22937691 27624126 32228147 40414027 45875382 64456294 80828054 96684441 109874339 121242081 153923621 193368882 219748678 242484162 282898189 307847242 329623017 461770863 565796378 659246034 769120373 848694567 923541726 1077465347 1538240746 1697389134 2154930694 2307361119 3232396041 4065350543 4614722238 5695173977 6464792082 8130701086 11390347954 12196051629 17085521931 24392103258 28457453801 34171043862 39866217839 56914907602 79732435678 85372361403 119598653517 135914557343 170744722806 239197307034 271829114686 407743672029 815487344058 951401901401 1902803802802 2854205704203 5028838621691 5708411408406 10057677243382 15086515865073 30173031730146 35201870351837 70403740703674 105605611055511 211211222111022