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212100220000020 = 223511411178171727
BaseRepresentation
bin110000001110011101101110…
…010001010001011100010100
31000210222120202000022122220110
4300032131232101101130110
5210300022222310000040
62031033255042003020
762450510114302152
oct6016355621213424
91023876660278813
10212100220000020
116164421a826550
121b95653a646470
139146c70c28911
143a539c39703d2
15197c3306a4980
hexc0e76e451714

212100220000020 has 96 divisors (see below), whose sum is σ = 648027365400576. Its totient is φ = 51405727017600.

The previous prime is 212100219999923. The next prime is 212100220000049. The reversal of 212100220000020 is 20000022001212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212100219999960 and 212100220000005.

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, 36372604 + ... + 41799123.

It is an arithmetic number, because the mean of its divisors is an integer number (6750285056256).

Almost surely, 2212100220000020 is an apocalyptic number.

212100220000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100220000020 is an abundant number, since it is smaller than the sum of its proper divisors (435927145400556).

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

212100220000020 is a wasteful number, since it uses less digits than its factorization.

212100220000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78175861 (or 78175859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212100220000020 its reverse (20000022001212), we get a palindrome (232100242001232).

The spelling of 212100220000020 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4111 8222 12333 16444 20555 24666 41110 45221 49332 61665 82220 90442 123330 135663 180884 226105 246660 271326 452210 542652 678315 904420 1356630 2713260 78171727 156343454 234515181 312686908 390858635 469030362 781717270 859888997 938060724 1172575905 1563434540 1719777994 2345151810 2579666991 3439555988 4299444985 4690303620 5159333982 8598889970 10318667964 12898334955 17197779940 25796669910 51593339820 321363969697 642727939394 964091909091 1285455878788 1606819848485 1928183818182 3213639696970 3535003666667 3856367636364 4820459545455 6427279393940 7070007333334 9640919090910 10605011000001 14140014666668 17675018333335 19281838181820 21210022000002 35350036666670 42420044000004 53025055000005 70700073333340 106050110000010 212100220000020