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212102011200222 = 2321113425919347667
BaseRepresentation
bin110000001110011111011001…
…000010001010001011011110
31000210222202100211210001122200
4300032133121002022023132
5210300034404331401342
62031034152505352330
762450602364246163
oct6016373102121336
91023882324701580
10212102011200222
1161644a5991a7a0
121b95695a4986a6
1391471980574b0
143a53b137d606a
15197c3d7a7094c
hexc0e7d908a2de

212102011200222 has 96 divisors (see below), whose sum is σ = 540022822335360. Its totient is φ = 59315300516160.

The previous prime is 212102011200151. The next prime is 212102011200281. The reversal of 212102011200222 is 222002110201212.

It is a happy number.

212102011200222 is a `hidden beast` number, since 2 + 1 + 210 + 20 + 11 + 200 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102011200195 and 212102011200204.

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 47 ways as a sum of consecutive naturals, for example, 1288833 + ... + 20636499.

It is an arithmetic number, because the mean of its divisors is an integer number (5625237732660).

Almost surely, 2212102011200222 is an apocalyptic number.

212102011200222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102011200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270011411167680).

212102011200222 is an abundant number, since it is smaller than the sum of its proper divisors (327920811135138).

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

212102011200222 is a wasteful number, since it uses less digits than its factorization.

212102011200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19351958 (or 19351955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102011200222 its reverse (222002110201212), we get a palindrome (434104121401434).

The spelling of 212102011200222 in words is "two hundred twelve trillion, one hundred two billion, eleven million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 4259 8518 12777 25554 38331 46849 55367 76662 93698 110734 140547 166101 281094 332202 421641 498303 609037 843282 996606 1218074 1827111 3654222 5481333 10962666 19347667 38695334 58043001 116086002 174129003 212824337 251519671 348258006 425648674 503039342 638473011 754559013 1276946022 1509118026 1915419033 2263677039 2766716381 3830838066 4527354078 5533432762 8300149143 16600298286 24900447429 49800894858 82401713753 164803427506 247205141259 494410282518 741615423777 906418851283 1071222278789 1483230847554 1812837702566 2142444557578 2719256553849 3213666836367 5438513107698 6427333672734 8157769661547 9641000509101 11783445066679 16315539323094 19282001018202 23566890133358 35350335200037 70700670400074 106051005600111 212102011200222