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212101110120020 = 2251112772019105407
BaseRepresentation
bin110000001110011110100011…
…010100110011111001010100
31000210222200001001020102222212
4300032132203110303321110
5210300031033142320040
62031033523240212552
762450541143221202
oct6016364324637124
91023880031212885
10212101110120020
116164463721a910
121b95674876a158
139147083473244
143a53a69c78072
15197c3838cdd65
hexc0e7a3533e54

212101110120020 has 96 divisors (see below), whose sum is σ = 489741826129920. Its totient is φ = 76518583424640.

The previous prime is 212101110120013. The next prime is 212101110120043. The reversal of 212101110120020 is 20021011101212.

212101110120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212101110119977 and 212101110120004.

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, 2012158157 + ... + 2012263563.

It is an arithmetic number, because the mean of its divisors is an integer number (5101477355520).

Almost surely, 2212101110120020 is an apocalyptic number.

212101110120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101110120020 is an abundant number, since it is smaller than the sum of its proper divisors (277640716009900).

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

212101110120020 is a wasteful number, since it uses less digits than its factorization.

212101110120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177573 (or 177571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101110120020 its reverse (20021011101212), we get a palindrome (232122121221232).

The spelling of 212101110120020 in words is "two hundred twelve trillion, one hundred one billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 27940 72019 105407 144038 210814 288076 360095 421628 527035 720190 792209 1054070 1159477 1440380 1584418 2108140 2318954 3168836 3961045 4637908 5797385 7922090 9146413 11594770 13386689 15844180 18292826 23189540 26773378 36585652 45732065 53546756 66933445 91464130 100610543 133866890 147253579 182928260 201221086 267733780 294507158 402442172 503052715 589014316 736267895 1006105430 1472535790 2012210860 2945071580 7591306733 15182613466 30365226932 37956533665 75913067330 83504374063 151826134660 167008748126 334017496252 417521870315 835043740630 964095955091 1670087481260 1928191910182 3856383820364 4820479775455 9640959550910 10605055506001 19281919101820 21210111012002 42420222024004 53025277530005 106050555060010 212101110120020