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212002111000100 = 22522120021110001
BaseRepresentation
bin110000001101000010010110…
…100001001000111000100100
31000210122012111121221002002202
4300031002112201020320210
5210241420310404000400
62030520231505354032
762440434641460341
oct6015022641107044
91023565447832082
10212002111000100
1161606654859833
121b93b51a038918
13913a93711b445
143a4cd57b137c8
1519799dc49b4d5
hexc0d096848e24

212002111000100 has 18 divisors (see below), whose sum is σ = 460044580870434. Its totient is φ = 84800844400000.

The previous prime is 212002111000067. The next prime is 212002111000139. The reversal of 212002111000100 is 1000111200212.

It can be written as a sum of positive squares in 3 ways, for example, as 11292328484836 + 200709782515264 = 3360406^2 + 14167208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060010554901 + ... + 1060010555100.

Almost surely, 2212002111000100 is an apocalyptic number.

212002111000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002111000100 is an abundant number, since it is smaller than the sum of its proper divisors (248042469870334).

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

212002111000100 is a wasteful number, since it uses less digits than its factorization.

212002111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120021110015 (or 2120021110008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212002111000100 its reverse (1000111200212), we get a palindrome (213002222200312).

The spelling of 212002111000100 in words is "two hundred twelve trillion, two billion, one hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 2120021110001 4240042220002 8480084440004 10600105550005 21200211100010 42400422200020 53000527750025 106001055500050 212002111000100