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212000212102020 = 223531113978608657
BaseRepresentation
bin110000001101000000100101…
…010101011010101110000100
31000210122000121021211001122020
4300031000211111122232010
5210241402413244231040
62030515315233403140
762440336613220336
oct6015004525325604
91023560537731566
10212000212102020
116160586a996581
121b93b08a1094b0
13913a6c38b2304
143a4cc17855456
15197992a909cd0
hexc0d02555ab84

212000212102020 has 48 divisors (see below), whose sum is σ = 612749000145408. Its totient is φ = 54709732154880.

The previous prime is 212000212101973. The next prime is 212000212102073. The reversal of 212000212102020 is 20201212000212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 56989302469 + ... + 56989306188.

It is an arithmetic number, because the mean of its divisors is an integer number (12765604169696).

Almost surely, 2212000212102020 is an apocalyptic number.

212000212102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000212102020 is an abundant number, since it is smaller than the sum of its proper divisors (400748788043388).

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

212000212102020 is a wasteful number, since it uses less digits than its factorization.

212000212102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113978608700 (or 113978608698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212000212102020 its reverse (20201212000212), we get a palindrome (232201424102232).

The spelling of 212000212102020 in words is "two hundred twelve trillion, two hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 113978608657 227957217314 341935825971 455914434628 569893043285 683871651942 1139786086570 1367743303884 1709679129855 2279572173140 3419358259710 3533336868367 6838716519420 7066673736734 10600010605101 14133347473468 17666684341835 21200021210202 35333368683670 42400042420404 53000053025505 70666737367340 106000106051010 212000212102020