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212012122200210 = 2345299025633129
BaseRepresentation
bin110000001101001011101011…
…001110110101100010010010
31000210200011100022202201220000
4300031023223032311202102
5210242101311240401320
62030525005132230430
762441241013330563
oct6015135316654222
91023604308681800
10212012122200210
116160a921923632
121b94145290b416
13913b87122a7a7
143a4d62755016a
151979dc631cc90
hexc0d2eb3b5892

212012122200210 has 80 divisors (see below), whose sum is σ = 589734868714200. Its totient is φ = 54587029158144.

The previous prime is 212012122200169. The next prime is 212012122200293. The reversal of 212012122200210 is 12002221210212.

It is a happy number.

212012122200210 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 212 + 220 + 0 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201927197791881 + 10084924408329 = 14210109^2 + 3175677^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 4512793075 + ... + 4512840054.

Almost surely, 2212012122200210 is an apocalyptic number.

212012122200210 is an abundant number, since it is smaller than the sum of its proper divisors (377722746513990).

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

212012122200210 is a wasteful number, since it uses less digits than its factorization.

212012122200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025633177 (or 9025633168 counting only the distinct ones).

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

Adding to 212012122200210 its reverse (12002221210212), we get a palindrome (224014343410422).

The spelling of 212012122200210 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 9025633129 18051266258 27076899387 45128165645 54153798774 81230698161 90256331290 135384496935 162461396322 243692094483 261743360741 270768993870 406153490805 487384188966 523486721482 731076283449 785230082223 812306981610 1218460472415 1308716803705 1462152566898 1570460164446 2355690246669 2436920944830 2617433607410 3655381417245 3926150411115 4711380493338 7067070740007 7310762834490 7852300822230 11778451233345 14134141480014 21201212220021 23556902466690 35335353700035 42402424440042 70670707400070 106006061100105 212012122200210