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21012200001100 = 22527116144735363
BaseRepresentation
bin1001100011100010010001…
…01101111000111001001100
32202101202011100100012102101
410301301020231320321030
510223230441200013400
6112404512121004444
74266036622045150
oct461611055707114
982352140305371
1021012200001100
116771251128370
12243437b323724
13b95598c9ba29
14528dd2aa5060
152668976c756a
hex131c48b78e4c

21012200001100 has 144 divisors (see below), whose sum is σ = 57779480376576. Its totient is φ = 6441892128000.

The previous prime is 21012200000989. The next prime is 21012200001179. The reversal of 21012200001100 is 110000221012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21897982 + ... + 22837381.

It is an arithmetic number, because the mean of its divisors is an integer number (401246391504).

Almost surely, 221012200001100 is an apocalyptic number.

21012200001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012200001100 is an abundant number, since it is smaller than the sum of its proper divisors (36767280375476).

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

21012200001100 is a wasteful number, since it uses less digits than its factorization.

21012200001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44735456 (or 44735449 counting only the distinct ones).

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

Adding to 21012200001100 its reverse (110000221012), we get a palindrome (21122200222112).

The spelling of 21012200001100 in words is "twenty-one trillion, twelve billion, two hundred million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 61 70 77 100 110 122 140 154 175 220 244 275 305 308 350 385 427 550 610 671 700 770 854 1100 1220 1342 1525 1540 1708 1925 2135 2684 3050 3355 3850 4270 4697 6100 6710 7700 8540 9394 10675 13420 16775 18788 21350 23485 33550 42700 46970 67100 93940 117425 234850 469700 44735363 89470726 178941452 223676815 313147541 447353630 492088993 626295082 894707260 984177986 1118384075 1252590164 1565737705 1968355972 2236768150 2460444965 2728857143 3131475410 3444622951 4473536300 4920889930 5457714286 6262950820 6889245902 7828688525 9841779860 10915428572 12302224825 13644285715 13778491804 15657377050 17223114755 19102000001 24604449650 27288571430 30017428573 31314754100 34446229510 38204000002 49208899300 54577142860 60034857146 68221428575 68892459020 76408000004 86115573775 95510000005 120069714292 136442857150 150087142865 172231147550 191020000010 210122000011 272885714300 300174285730 344462295100 382040000020 420244000022 477550000025 600348571460 750435714325 840488000044 955100000050 1050610000055 1500871428650 1910200000100 2101220000110 3001742857300 4202440000220 5253050000275 10506100000550 21012200001100