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221220122002000 = 24531123437193917
BaseRepresentation
bin110010010011001011010010…
…110010100000001001010000
31002000021102210122220021201221
4302103023102302200021100
5212443432302213031000
62102255042052334424
764411424564256352
oct6223132262401120
91060242718807657
10221220122002000
116453aa217453a0
1220989b37314414
139658c778b0474
143c8b17a96d0d2
151a8969a42a61a
hexc932d2ca0250

221220122002000 has 160 divisors (see below), whose sum is σ = 608909698785024. Its totient is φ = 76946129216000.

The previous prime is 221220122001979. The next prime is 221220122002039. The reversal of 221220122002000 is 200221022122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218090959 + ... + 219102958.

Almost surely, 2221220122002000 is an apocalyptic number.

221220122002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220122002000 is an abundant number, since it is smaller than the sum of its proper divisors (387689576783024).

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

221220122002000 is a wasteful number, since it uses less digits than its factorization.

221220122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437193974 (or 437193958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221220122002000 its reverse (200221022122), we get a palindrome (221420343024122).

The spelling of 221220122002000 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 253000 506000 437193917 874387834 1748775668 2185969585 3497551336 4371939170 4809133087 6995102672 8743878340 9618266174 10055460091 10929847925 17487756680 19236532348 20110920182 21859695850 24045665435 34975513360 38473064696 40221840364 43719391700 48091330870 50277300455 54649239625 76946129392 80443680728 87438783400 96182661740 100554600910 109298479250 110610061001 120228327175 160887361456 174877566800 192365323480 201109201820 218596958500 221220122002 240456654350 251386502275 384730646960 402218403640 437193917000 442440244004 480913308700 502773004550 553050305005 601141635875 804436807280 874387834000 884880488008 961826617400 1005546009100 1106100610010 1202283271750 1256932511375 1769760976016 1923653234800 2011092018200 2212201220020 2404566543500 2513865022750 2765251525025 4022184036400 4424402440040 4809133087000 5027730045500 5530503050050 8848804880080 9618266174000 10055460091000 11061006100100 13826257625125 20110920182000 22122012200200 27652515250250 44244024400400 55305030500500 110610061001000 221220122002000