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212230020130020 = 2232510124114841899
BaseRepresentation
bin110000010000010110100110…
…111101011110010011100100
31000211102222210000011110102200
4300100112212331132103210
5210304134040123130040
62031213043021134500
762463053513223144
oct6020264675362344
91024388700143380
10212230020130020
11616942785a1362
121b9777243ba430
139156288590379
143a59db868c924
1519808cabd7630
hexc105a6f5e4e4

212230020130020 has 144 divisors (see below), whose sum is σ = 650408088657600. Its totient is φ = 56011076064000.

The previous prime is 212230020130019. The next prime is 212230020130039. The reversal of 212230020130020 is 20031020032212.

212230020130020 is a `hidden beast` number, since 2 + 1 + 22 + 300 + 20 + 1 + 300 + 20 = 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 = 212230020129975 and 212230020130002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41411031 + ... + 46252929.

It is an arithmetic number, because the mean of its divisors is an integer number (4516722837900).

Almost surely, 2212230020130020 is an apocalyptic number.

212230020130020 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 212230020130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325204044328800).

212230020130020 is an abundant number, since it is smaller than the sum of its proper divisors (438178068527580).

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

212230020130020 is a wasteful number, since it uses less digits than its factorization.

212230020130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844426 (or 4844421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212230020130020 its reverse (20031020032212), we get a palindrome (232261040162232).

The spelling of 212230020130020 in words is "two hundred twelve trillion, two hundred thirty billion, twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 2411 3030 3636 4545 4822 6060 7233 9090 9644 12055 14466 18180 21699 24110 28932 36165 43398 48220 72330 86796 108495 144660 216990 243511 433980 487022 730533 974044 1217555 1461066 2191599 2435110 2922132 3652665 4383198 4841899 4870220 7305330 8766396 9683798 10957995 14525697 14610660 19367596 21915990 24209495 29051394 43577091 43831980 48418990 58102788 72628485 87154182 96837980 145256970 174308364 217885455 290513940 435770910 489031799 871541820 978063598 1467095397 1956127196 2445158995 2934190794 4401286191 4890317990 5868381588 7335476985 8802572382 9780635980 11673818489 14670953970 17605144764 22006430955 23347636978 29341907940 35021455467 44012861910 46695273956 58369092445 70042910934 88025723820 105064366401 116738184890 140085821868 175107277335 210128732802 233476369780 350214554670 420257465604 525321832005 700429109340 1050643664010 1179055667389 2101287328020 2358111334778 3537167002167 4716222669556 5895278336945 7074334004334 10611501006501 11790556673890 14148668008668 17685835010835 21223002013002 23581113347780 35371670021670 42446004026004 53057505032505 70743340043340 106115010065010 212230020130020