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212000020112100 = 2235211371736281901
BaseRepresentation
bin110000001101000000011001…
…111001000010001011100100
31000210122000002220112221222110
4300031000121321002023210
5210241402020122041400
62030515244214401020
762440332062304063
oct6015003171021344
91023560086487873
10212000020112100
1161605781584720
121b93b035960170
13913a692ba0bcc
143a4cbda15a1da
151979918b33e50
hexc0d019e422e4

212000020112100 has 144 divisors (see below), whose sum is σ = 687234267066816. Its totient is φ = 50004918720000.

The previous prime is 212000020112053. The next prime is 212000020112143. The reversal of 212000020112100 is 1211020000212.

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

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, 868018851 + ... + 868263050.

It is an arithmetic number, because the mean of its divisors is an integer number (4772460187964).

Almost surely, 2212000020112100 is an apocalyptic number.

212000020112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000020112100 is an abundant number, since it is smaller than the sum of its proper divisors (475234246954716).

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

212000020112100 is a wasteful number, since it uses less digits than its factorization.

212000020112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736281966 (or 1736281959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000020112100 its reverse (1211020000212), we get a palindrome (213211040112312).

The spelling of 212000020112100 in words is "two hundred twelve trillion, twenty million, one hundred twelve 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 1736281901 3472563802 5208845703 6945127604 8681409505 10417691406 17362819010 19099100911 20835382812 26044228515 34725638020 38198201822 43407047525 52088457030 57297302733 64242430337 76396403644 86814095050 95495504555 104176914060 114594605466 128484860674 130221142575 173628190100 190991009110 192727291011 229189210932 256969721348 260442285150 286486513665 321212151685 381982018220 385454582022 477477522775 520884570300 572973027330 642424303370 706666733707 770909164044 954955045550 963636455055 1145946054660 1284848606740 1413333467414 1432432568325 1606060758425 1909910091100 1927272910110 2120000201121 2826666934828 2864865136650 3212121516850 3533333668535 3854545820220 4240000402242 4818182275275 5729730273300 6424243033700 7066667337070 8480000804484 9636364550550 10600001005605 14133334674140 17666668342675 19272729101100 21200002011210 35333336685350 42400004022420 53000005028025 70666673370700 106000010056050 212000020112100