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212300220320020 = 225723531243995197
BaseRepresentation
bin110000010001010111111111…
…001101111100100100010100
31000211200200222101012121100201
4300101113333031330210110
5210311311322400220040
62031305212542550244
762501120241051130
oct6021277715744424
91024620871177321
10212300220320020
1161711021796108
121b989256298384
13915ca9532a631
143a5d557ad63c0
151982638b8da9a
hexc115ff37c914

212300220320020 has 96 divisors (see below), whose sum is σ = 541705172940288. Its totient is φ = 68310264202752.

The previous prime is 212300220320017. The next prime is 212300220320033. The reversal of 212300220320020 is 20023022003212.

It is a super-3 number, since 3×2123002203200203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212300220320020.

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, 621826939 + ... + 622168258.

It is an arithmetic number, because the mean of its divisors is an integer number (5642762218128).

Almost surely, 2212300220320020 is an apocalyptic number.

212300220320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300220320020 is an abundant number, since it is smaller than the sum of its proper divisors (329404952620268).

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

212300220320020 is a wasteful number, since it uses less digits than its factorization.

212300220320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243995289 (or 1243995287 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 212300220320020 its reverse (20023022003212), we get a palindrome (232323242323232).

The spelling of 212300220320020 in words is "two hundred twelve trillion, three hundred billion, two hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 70 92 106 115 140 161 212 230 265 322 371 460 530 644 742 805 1060 1219 1484 1610 1855 2438 3220 3710 4876 6095 7420 8533 12190 17066 24380 34132 42665 85330 170660 1243995197 2487990394 4975980788 6219975985 8707966379 12439951970 17415932758 24879903940 28611889531 34831865516 43539831895 57223779062 65931745441 87079663790 114447558124 131863490882 143059447655 174159327580 200283226717 263726981764 286118895310 329658727205 400566453434 461522218087 572237790620 659317454410 801132906868 923044436174 1001416133585 1318634908820 1516430145143 1846088872348 2002832267170 2307611090435 3032860290286 4005664534340 4615222180870 6065720580572 7582150725715 9230444361740 10615011016001 15164301451430 21230022032002 30328602902860 42460044064004 53075055080005 106150110160010 212300220320020