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212200022211210 = 232511434984731553
BaseRepresentation
bin110000001111111010101010…
…111100011111101010001010
31000211100010100101210021220200
4300033322222330133222022
5210303141121141224320
62031151202221433030
762460642240142665
oct6017725274375212
91024303311707820
10212200022211210
1161682584549a20
121b97195210b776
1391534b7776657
143a587706266dc
15197ec22370290
hexc0feaaf1fa8a

212200022211210 has 96 divisors (see below), whose sum is σ = 615873552959808. Its totient is φ = 50246094044160.

The previous prime is 212200022211209. The next prime is 212200022211211. The reversal of 212200022211210 is 12112220002212.

It is a happy number.

212200022211210 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 0 + 22 + 211 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (212200022211209) and next prime (212200022211211).

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

It is not an unprimeable number, because it can be changed into a prime (212200022211211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492323207 + ... + 2492408346.

It is an arithmetic number, because the mean of its divisors is an integer number (6415349509998).

Almost surely, 2212200022211210 is an apocalyptic number.

212200022211210 is an abundant number, since it is smaller than the sum of its proper divisors (403673530748598).

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

212200022211210 is a wasteful number, since it uses less digits than its factorization.

212200022211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984731620 (or 4984731617 counting only the distinct ones).

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

Adding to 212200022211210 its reverse (12112220002212), we get a palindrome (224312242213422).

The spelling of 212200022211210 in words is "two hundred twelve trillion, two hundred billion, twenty-two million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 14190 21285 42570 4984731553 9969463106 14954194659 24923657765 29908389318 44862583977 49847315530 54832047083 74770973295 89725167954 109664094166 149541946590 164496141249 214343456779 224312919885 274160235415 328992282498 428686913558 448625839770 493488423747 548320470830 643030370337 822480706245 986976847494 1071717283895 1286060740674 1644961412490 1929091111011 2143434567790 2357778024569 2467442118735 3215151851685 3858182222022 4715556049138 4934884237470 6430303703370 7073334073707 9645455555055 11788890122845 14146668147414 19290911110110 21220002221121 23577780245690 35366670368535 42440004442242 70733340737070 106100011105605 212200022211210