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21012001001200 = 24521141521115013
BaseRepresentation
bin1001100011100001111001…
…10110110000111011110000
32202101201122110212221212201
410301300330312300323300
510223230034224014300
6112404440251432544
74266031654424416
oct461607466607360
982351573787781
1021012001001200
116771159868840
122434324755754
13b955669a4a01
14528db44a32b6
15266884eb966a
hex131c3cdb0ef0

21012001001200 has 120 divisors (see below), whose sum is σ = 55072349603856. Its totient is φ = 7640477184000.

The previous prime is 21012001001191. The next prime is 21012001001209. The reversal of 21012001001200 is 210010021012.

It is an interprime number because it is at equal distance from previous prime (21012001001191) and next prime (21012001001209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012001001209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 182634894 + ... + 182749906.

Almost surely, 221012001001200 is an apocalyptic number.

21012001001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012001001200 is an abundant number, since it is smaller than the sum of its proper divisors (34060348602656).

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

21012001001200 is a wasteful number, since it uses less digits than its factorization.

21012001001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156563 (or 156552 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21012001001200 its reverse (210010021012), we get a palindrome (21222011022212).

The spelling of 21012001001200 in words is "twenty-one trillion, twelve billion, one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 41521 83042 115013 166084 207605 230026 332168 415210 456731 460052 575065 664336 830420 913462 920104 1038025 1150130 1265143 1660840 1826924 1840208 2076050 2283655 2300260 2530286 2875325 3321680 3653848 4152100 4567310 4600520 5060572 5750650 6325715 7307696 8304200 9134620 9201040 10121144 11418275 11501300 12651430 16608400 18269240 20242288 22836550 23002600 25302860 31628575 36538480 45673100 46005200 50605720 63257150 91346200 101211440 126514300 182692400 253028600 506057200 4775454773 9550909546 19101819092 23877273865 38203638184 47754547730 52530002503 76407276368 95509095460 105060005006 119386369325 191018190920 210120010012 238772738650 262650012515 382036381840 420240020024 477545477300 525300025030 840480040048 955090954600 1050600050060 1313250062575 1910181909200 2101200100120 2626500125150 4202400200240 5253000250300 10506000500600 21012001001200