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212122102212 = 22335997343193
BaseRepresentation
bin1100010110001101110…
…1100110100111000100
3202021112011011021121000
43011203131212213010
511433411224232322
6241240400453300
721216404055606
oct3054335464704
9667464137530
10212122102212
1181a6243aa99
123513b31a230
1317006865717
14a3a4005176
1557b77b33ac
hex31637669c4

212122102212 has 96 divisors (see below), whose sum is σ = 565034601600. Its totient is φ = 68792150016.

The previous prime is 212122102177. The next prime is 212122102237. The reversal of 212122102212 is 212201221212.

It is a happy number.

212122102212 is a `hidden beast` number, since 21 + 212 + 210 + 221 + 2 = 666.

212122102212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2121221022123 (a number of 35 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446488 + ... + 789680.

It is an arithmetic number, because the mean of its divisors is an integer number (5885777100).

Almost surely, 2212122102212 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 212122102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282517300800).

212122102212 is an abundant number, since it is smaller than the sum of its proper divisors (352912499388).

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

212122102212 is a wasteful number, since it uses less digits than its factorization.

212122102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343362 (or 343354 counting only the distinct ones).

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

Adding to 212122102212 its reverse (212201221212), we get a palindrome (424323323424).

The spelling of 212122102212 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 97 108 118 177 194 236 291 354 388 531 582 708 873 1062 1164 1593 1746 2124 2619 3186 3492 5238 5723 6372 10476 11446 17169 22892 34338 51507 68676 103014 154521 206028 309042 343193 618084 686386 1029579 1372772 2059158 3088737 4118316 6177474 9266211 12354948 18532422 20248387 33289721 37064844 40496774 60745161 66579442 80993548 99869163 121490322 133158884 182235483 199738326 242980644 299607489 364470966 399476652 546706449 599214978 728941932 898822467 1093412898 1198429956 1797644934 1964093539 2186825796 3595289868 3928187078 5892280617 7856374156 11784561234 17676841851 23569122468 35353683702 53030525553 70707367404 106061051106 212122102212