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212100000020000 = 255443246627907
BaseRepresentation
bin110000001110011101100001…
…001010000111011000100000
31000210222120011200101112001022
4300032131201022013120200
5210300021300001120000
62031033221143025012
762450501503431041
oct6016354112073040
91023876150345038
10212100000020000
1161644117637284
121b956498a3b168
139146c37497321
143a539a266a8c8
15197c31b200585
hexc0e761287620

212100000020000 has 120 divisors (see below), whose sum is σ = 533932650122256. Its totient is φ = 82866976416000.

The previous prime is 212100000019981. The next prime is 212100000020003. The reversal of 212100000020000 is 20000001212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 212100000020000.

It is not an unprimeable number, because it can be changed into a prime (212100000020003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 122453954 + ... + 124173953.

Almost surely, 2212100000020000 is an apocalyptic number.

212100000020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100000020000 is an abundant number, since it is smaller than the sum of its proper divisors (321832650102256).

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

212100000020000 is an equidigital number, since it uses as much as digits as its factorization.

212100000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246627980 (or 246627957 counting only the distinct ones).

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

Adding to 212100000020000 its reverse (20000001212), we get a palindrome (212120000021212).

The spelling of 212100000020000 in words is "two hundred twelve trillion, one hundred billion, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3440 4000 4300 5000 5375 6880 8600 10000 10750 17200 20000 21500 26875 34400 43000 53750 86000 107500 172000 215000 430000 860000 246627907 493255814 986511628 1233139535 1973023256 2466279070 3946046512 4932558140 6165697675 7892093024 9865116280 10605000001 12331395350 19730232560 21210000002 24662790700 30828488375 39460465120 42420000004 49325581400 53025000005 61656976750 84840000008 98651162800 106050000010 123313953500 154142441875 169680000016 197302325600 212100000020 246627907000 265125000025 308284883750 339360000032 424200000040 493255814000 530250000050 616569767500 848400000080 986511628000 1060500000100 1233139535000 1325625000125 1696800000160 2121000000200 2466279070000 2651250000250 4242000000400 4932558140000 5302500000500 6628125000625 8484000000800 10605000001000 13256250001250 21210000002000 26512500002500 42420000004000 53025000005000 106050000010000 212100000020000