Search a number
-
+
20212201011212 = 2272239606771119
BaseRepresentation
bin1001001100010000001010…
…00011111011100000001100
32122120021020001002210001022
410212020011003323200030
510122124041424324322
6110553205034133312
74154166116611100
oct446100503734014
978507201083038
1020212201011212
116492a455a3581
122325315281238
13b380052b7072
144dc3c0923900
15250b74534942
hex1262050fb80c

20212201011212 has 72 divisors (see below), whose sum is σ = 41325817881600. Its totient is φ = 8624584545696.

The previous prime is 20212201011193. The next prime is 20212201011283. The reversal of 20212201011212 is 21211010221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284166989 + ... + 284238107.

It is an arithmetic number, because the mean of its divisors is an integer number (573969692800).

Almost surely, 220212201011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212201011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662908940800).

20212201011212 is an abundant number, since it is smaller than the sum of its proper divisors (21113616870388).

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

20212201011212 is a wasteful number, since it uses less digits than its factorization.

20212201011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77443 (or 77434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20212201011212 its reverse (21211010221202), we get a palindrome (41423211232414).

The spelling of 20212201011212 in words is "twenty trillion, two hundred twelve billion, two hundred one million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 239 478 956 1673 3346 6067 6692 11711 12134 23422 24268 42469 46844 71119 84938 142238 169876 284476 297283 497833 594566 995666 1189132 1450013 1991332 2900026 3484831 5800052 6969662 10150091 13939324 16997441 20300182 33994882 40600364 67989764 71050637 118982087 142101274 237964174 284202548 431478973 475928348 832874609 862957946 1665749218 1725915892 3020352811 3331498436 6040705622 12081411244 21142469677 42284939354 84569878708 103123474547 206246949094 412493898188 721864321829 1443728643658 2887457287316 5053050252803 10106100505606 20212201011212