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212102211202020 = 2232535932531009007
BaseRepresentation
bin110000001110011111100100…
…111101000110101111100100
31000210222202212210010012112200
4300032133210331012233210
5210300040312031431040
62031034224412214500
762450610343241616
oct6016374475065744
91023882783105480
10212102211202020
1161645051804037
121b9569b546a430
1391471ca612559
143a53b321b8db6
15197c3ea3ca630
hexc0e7e4f46be4

212102211202020 has 144 divisors (see below), whose sum is σ = 645367813009920. Its totient is φ = 56385644606208.

The previous prime is 212102211201971. The next prime is 212102211202129. The reversal of 212102211202020 is 20202112201212.

It is a happy number.

212102211202020 is a `hidden beast` number, since 2 + 121 + 0 + 221 + 120 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212102211201984 and 212102211202002.

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, 209704357 + ... + 210713363.

It is an arithmetic number, because the mean of its divisors is an integer number (4481720923680).

Almost surely, 2212102211202020 is an apocalyptic number.

212102211202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102211202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322683906504960).

212102211202020 is an abundant number, since it is smaller than the sum of its proper divisors (433265601807900).

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

212102211202020 is a wasteful number, since it uses less digits than its factorization.

212102211202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012634 (or 1012629 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102211202020 its reverse (20202112201212), we get a palindrome (232304323403232).

The spelling of 212102211202020 in words is "two hundred twelve trillion, one hundred two billion, two hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3253 3590 4308 5385 6462 6506 7180 9759 10770 12924 13012 16155 16265 19518 21540 29277 32310 32530 39036 48795 58554 64620 65060 97590 117108 146385 195180 292770 585540 1009007 1167827 2018014 2335654 3027021 3503481 4036028 4671308 5045035 5839135 6054042 7006962 9081063 10090070 10510443 11678270 12108084 14013924 15135105 17517405 18162126 20180140 21020886 23356540 30270210 35034810 36324252 42041772 45405315 52552215 60540420 70069620 90810630 105104430 181621260 210208860 362233513 724467026 1086700539 1448934052 1811167565 2173401078 3260101617 3282299771 3622335130 4346802156 5433502695 6520203234 6564599542 7244670260 9846899313 10867005390 13040406468 13129199084 16300508085 16411498855 19693798626 21734010780 29540697939 32601016170 32822997710 39387597252 49234496565 59081395878 65202032340 65645995420 98468993130 118162791756 147703489695 196937986260 295406979390 590813958780 1178345617789 2356691235578 3535036853367 4713382471156 5891728088945 7070073706734 10605110560101 11783456177890 14140147413468 17675184266835 21210221120202 23566912355780 35350368533670 42420442240404 53025552800505 70700737067340 106051105601010 212102211202020