Search a number
-
+
212000010020211 = 3726791812344519
BaseRepresentation
bin110000001101000000011001…
…010010100010010101110011
31000210122000002012120020111210
4300031000121102202111303
5210241402010031121321
62030515243214211203
762440331610442500
oct6015003122422563
91023560065506453
10212000010020211
1161605776911516
121b93b0324b3b03
13913a690a7958a
143a4cbd8a904a7
151979917cddb76
hexc0d0194a2573

212000010020211 has 48 divisors (see below), whose sum is σ = 333760540450560. Its totient is φ = 119321711530560.

The previous prime is 212000010020209. The next prime is 212000010020261. The reversal of 212000010020211 is 112020010000212.

It is not a de Polignac number, because 212000010020211 - 21 = 212000010020209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212000010020261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89251410 + ... + 91595928.

It is an arithmetic number, because the mean of its divisors is an integer number (6953344592720).

Almost surely, 2212000010020211 is an apocalyptic number.

212000010020211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212000010020211 is a deficient number, since it is larger than the sum of its proper divisors (121760530430349).

212000010020211 is a wasteful number, since it uses less digits than its factorization.

212000010020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353784 (or 2353777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000010020211 its reverse (112020010000212), we get a palindrome (324020020020423).

The spelling of 212000010020211 in words is "two hundred twelve trillion, ten million, twenty thousand, two hundred eleven".

Divisors: 1 3 7 21 49 67 147 201 469 1407 3283 9181 9849 27543 64267 192801 449869 615127 1349607 1845381 2344519 4305889 7033557 12917667 16411633 30141223 49234899 90423669 114881431 157082773 344644293 471248319 1099579411 3298738233 7697055877 21525028939 23091167631 64575086817 150675202573 452025607719 1054726418011 1442176938913 3164179254033 4326530816739 10095238572391 30285715717173 70666670006737 212000010020211