Search a number
-
+
212210210212 = 2271113311709663
BaseRepresentation
bin1100010110100010110…
…1101101010110100100
3202021202021221122001021
43011220231231112210
511434101303211322
6241253225140524
721221524011340
oct3055055552644
9667667848037
10212210210212
1181aa8149920
123516492a744
131701bba4430
14a3b19bc620
1557c03b94c7
hex3168b6d5a4

212210210212 has 96 divisors (see below), whose sum is σ = 514704605184. Its totient is φ = 73857398400.

The previous prime is 212210210167. The next prime is 212210210237. The reversal of 212210210212 is 212012012212.

It is a happy number.

212210210212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 730708 + ... + 978955.

It is an arithmetic number, because the mean of its divisors is an integer number (5361506304).

Almost surely, 2212210210212 is an apocalyptic number.

212210210212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212210210212 is an abundant number, since it is smaller than the sum of its proper divisors (302494394972).

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

212210210212 is a wasteful number, since it uses less digits than its factorization.

212210210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709729 (or 1709727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210210212 its reverse (212012012212), we get a palindrome (424222222424).

The spelling of 212210210212 in words is "two hundred twelve billion, two hundred ten million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 2002 2387 2821 4004 4433 4774 5642 8866 9548 11284 17732 31031 62062 124124 1709663 3419326 6838652 11967641 18806293 22225619 23935282 37612586 44451238 47870564 52999553 75225172 88902476 105999106 131644051 155579333 211998212 244481809 263288102 311158666 370996871 488963618 526576204 582995083 622317332 688994189 741993742 977927236 1165990166 1377988378 1483987484 1711372663 2331980332 2755976756 3422745326 4080965581 4822959323 6845490652 7578936079 8161931162 9645918646 15157872158 16323862324 19291837292 30315744316 53052552553 106105105106 212210210212