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212000220222102 = 23313535698011617
BaseRepresentation
bin110000001101000000100101…
…110100011001001010010110
31000210122000121212002121022000
4300031000211310121022112
5210241402422334101402
62030515320123420130
762440340042230134
oct6015004564311226
91023560555077260
10212000220222102
1161605874532294
121b93b090984646
13913a6c54962b0
143a4cc1896a754
15197992b4b0c1c
hexc0d025d19296

212000220222102 has 64 divisors (see below), whose sum is σ = 516923613984960. Its totient is φ = 64000066470912.

The previous prime is 212000220222071. The next prime is 212000220222121. The reversal of 212000220222102 is 201222022000212.

212000220222102 is a `hidden beast` number, since 2 + 120 + 0 + 0 + 220 + 222 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848968603 + ... + 2849043014.

It is an arithmetic number, because the mean of its divisors is an integer number (8076931468515).

Almost surely, 2212000220222102 is an apocalyptic number.

212000220222102 is an abundant number, since it is smaller than the sum of its proper divisors (304923393762858).

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

212000220222102 is a wasteful number, since it uses less digits than its factorization.

212000220222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698011694 (or 5698011688 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212000220222102 its reverse (201222022000212), we get a palindrome (413222242222314).

The spelling of 212000220222102 in words is "two hundred twelve trillion, two hundred twenty million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 2067 2862 4134 6201 12402 18603 37206 5698011617 11396023234 17094034851 34188069702 51282104553 74074151021 102564209106 148148302042 153846313659 222222453063 301994615701 307692627318 444444906126 603989231402 666667359189 905983847103 1333334718378 1811967694206 2000002077567 2717951541309 3925930004113 4000004155134 5435903082618 7851860008226 8153854623927 11777790012339 16307709247854 23555580024678 35333370037017 70666740074034 106000110111051 212000220222102