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212002202200212 = 223247412273039193
BaseRepresentation
bin110000001101000010011011…
…111101000010100010010100
31000210122012201222112112010200
4300031002123331002202110
5210241421002230401322
62030520244524220500
762440440126612024
oct6015023375024224
91023565658475120
10212002202200212
11616066a128a826
121b93b54469a730
13913a94cca06c8
143a4cd65c93a84
1519799e54b38ac
hexc0d09bf42894

212002202200212 has 72 divisors (see below), whose sum is σ = 547309920533376. Its totient is φ = 69162138624384.

The previous prime is 212002202200189. The next prime is 212002202200219.

212002202200212 is a `hidden beast` number, since 2 + 1 + 200 + 220 + 220 + 0 + 21 + 2 = 666.

212002202200212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002202200219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68236488 + ... + 71275680.

Almost surely, 2212002202200212 is an apocalyptic number.

It is an amenable number.

212002202200212 is an abundant number, since it is smaller than the sum of its proper divisors (335307718333164).

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

212002202200212 is a wasteful number, since it uses less digits than its factorization.

212002202200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080477 (or 3080472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 21200220 and 2200212, that added together give a palindrome (23400432).

The spelling of 212002202200212 in words is "two hundred twelve trillion, two billion, two hundred two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 41227 82454 123681 164908 247362 371043 494724 742086 1484172 1937669 3039193 3875338 5813007 6078386 7750676 9117579 11626014 12156772 17439021 18235158 23252028 27352737 34878042 36470316 54705474 69756084 109410948 142842071 285684142 428526213 571368284 857052426 1285578639 1714104852 2571157278 5142314556 125296809811 250593619622 375890429433 501187239244 751780858866 1127671288299 1503561717732 2255342576598 4510685153196 5888950061117 11777900122234 17666850183351 23555800244468 35333700366702 53000550550053 70667400733404 106001101100106 212002202200212