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212121022102220 = 225711227606788209
BaseRepresentation
bin110000001110110001000110…
…001010111111101011001100
31000211001120102202010221112002
4300032301012022333223030
5210300342323124232340
62031051015143131432
762452144446246350
oct6016610612775314
91024046382127462
10212121022102220
1161652024aa1850
121b95a585143b78
139148c0784122a
143a549d85ab460
15197cb4ba60715
hexc0ec462bfacc

212121022102220 has 96 divisors (see below), whose sum is σ = 557817974300160. Its totient is φ = 65824384803840.

The previous prime is 212121022102201. The next prime is 212121022102259. The reversal of 212121022102220 is 22201220121212.

212121022102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2121210221022203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212121022102192 and 212121022102201.

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, 303044525 + ... + 303743684.

It is an arithmetic number, because the mean of its divisors is an integer number (5810603898960).

Almost surely, 2212121022102220 is an apocalyptic number.

212121022102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121022102220 is an abundant number, since it is smaller than the sum of its proper divisors (345696952197940).

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

212121022102220 is a wasteful number, since it uses less digits than its factorization.

212121022102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606788463 (or 606788461 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212121022102220 its reverse (22201220121212), we get a palindrome (234322242223432).

The spelling of 212121022102220 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 227 308 385 454 770 908 1135 1540 1589 2270 2497 3178 4540 4994 6356 7945 9988 12485 15890 17479 24970 31780 34958 49940 69916 87395 174790 349580 606788209 1213576418 2427152836 3033941045 4247517463 6067882090 6674670299 8495034926 12135764180 13349340598 16990069852 21237587315 26698681196 33373351495 42475174630 46722692093 66746702990 84950349260 93445384186 133493405980 137740923443 186890768372 233613460465 275481846886 467226920930 550963693772 688704617215 934453841860 964186464101 1377409234430 1515150157873 1928372928202 2754818468860 3030300315746 3856745856404 4820932320505 6060600631492 7575750789365 9641864641010 10606051105111 15151501578730 19283729282020 21212102210222 30303003157460 42424204420444 53030255525555 106060511051110 212121022102220