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20322420122200 = 2352722637884853
BaseRepresentation
bin1001001111011101011101…
…01000011110001001011000
32122221210201101210202012011
410213232232220132021120
510130430304022402300
6111115554012155304
74165150341603100
oct447565650361130
978853641722164
1020322420122200
116525765399a49
122342755468b34
13b4551bcccb31
14503878c62200
152539759adeba
hex127baea1e258

20322420122200 has 144 divisors (see below), whose sum is σ = 55172846591280. Its totient is φ = 6941192912640.

The previous prime is 20322420122153. The next prime is 20322420122201. The reversal of 20322420122200 is 222102422302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322420122201) 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 35 ways as a sum of consecutive naturals, for example, 1365027 + ... + 6519826.

It is an arithmetic number, because the mean of its divisors is an integer number (383144767995).

Almost surely, 220322420122200 is an apocalyptic number.

20322420122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322420122200 is an abundant number, since it is smaller than the sum of its proper divisors (34850426469080).

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

20322420122200 is a wasteful number, since it uses less digits than its factorization.

20322420122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885146 (or 7885130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20322420122200 its reverse (222102422302), we get a palindrome (20544522544502).

The spelling of 20322420122200 in words is "twenty trillion, three hundred twenty-two billion, four hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 263 280 350 392 490 526 700 980 1052 1225 1315 1400 1841 1960 2104 2450 2630 3682 4900 5260 6575 7364 9205 9800 10520 12887 13150 14728 18410 25774 26300 36820 46025 51548 52600 64435 73640 92050 103096 128870 184100 257740 322175 368200 515480 644350 1288700 2577400 7884853 15769706 31539412 39424265 55193971 63078824 78848530 110387942 157697060 197121325 220775884 275969855 315394120 386357797 394242650 441551768 551939710 772715594 788485300 1103879420 1379849275 1545431188 1576970600 1931788985 2073716339 2207758840 2759698550 3090862376 3863577970 4147432678 5519397100 7727155940 8294865356 9658944925 10368581695 11038794200 14516014373 15454311880 16589730712 19317889850 20737163390 29032028746 38635779700 41474326780 51842908475 58064057492 72580071865 77271559400 82948653560 101612100611 103685816950 116128114984 145160143730 203224201222 207371633900 290320287460 362900359325 406448402444 414743267800 508060503055 580640574920 725800718650 812896804888 1016121006110 1451601437300 2032242012220 2540302515275 2903202874600 4064484024440 5080605030550 10161210061100 20322420122200