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21012200111100 = 223521137172090091
BaseRepresentation
bin1001100011100010010001…
…01110010011101111111100
32202101202011100112210022110
410301301020232103233330
510223230441212023400
6112404512123214020
74266036623013642
oct461611056235774
982352140483273
1021012200111100
1167712511a2a80
12243437b377310
13b95599009b13
14528dd2ad3192
152668976e9e50
hex131c48b93bfc

21012200111100 has 144 divisors (see below), whose sum is σ = 68114635134336. Its totient is φ = 4956194592000.

The previous prime is 21012200111069. The next prime is 21012200111101. The reversal of 21012200111100 is 111100221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012200111101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85922946 + ... + 86167145.

It is an arithmetic number, because the mean of its divisors is an integer number (473018299544).

Almost surely, 221012200111100 is an apocalyptic number.

21012200111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012200111100 is an abundant number, since it is smaller than the sum of its proper divisors (47102435023236).

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

21012200111100 is a wasteful number, since it uses less digits than its factorization.

21012200111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172090156 (or 172090149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21012200111100 its reverse (111100221012), we get a palindrome (21123300332112).

The spelling of 21012200111100 in words is "twenty-one trillion, twelve billion, two hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 172090091 344180182 516270273 688360364 860450455 1032540546 1720900910 1892991001 2065081092 2581351365 3441801820 3785982002 4302252275 5162702730 5678973003 6367333367 7571964004 8604504550 9464955005 10325405460 11357946006 12734666734 12906756825 17209009100 18929910010 19102000101 22715892012 25469333468 25813513650 28394865015 31836666835 37859820020 38204000202 47324775025 51627027300 56789730030 63673333670 70040667037 76408000404 94649550050 95510000505 113579460060 127346667340 140081334074 141974325075 159183334175 189299100100 191020001010 210122001111 280162668148 283948650150 318366668350 350203335185 382040002020 420244002222 477550002525 567897300300 636733336700 700406670370 840488004444 955100005050 1050610005555 1400813340740 1751016675925 1910200010100 2101220011110 3502033351850 4202440022220 5253050027775 7004066703700 10506100055550 21012200111100