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221102011012212 = 223211826996751453
BaseRepresentation
bin110010010001011101010010…
…110100110101010001110100
31001222212010221022020100002200
4302101131102310311101310
5212440013404304342322
62102124510040104500
764400043643362351
oct6221352264652164
91058763838210080
10221102011012212
11644a492210a640
122096b074165130
13964aaa3b7c725
143c8557446d628
151a865862118ac
hexc91752d35474

221102011012212 has 72 divisors (see below), whose sum is σ = 609713008413600. Its totient is φ = 66999789299520.

The previous prime is 221102011012123. The next prime is 221102011012219. The reversal of 221102011012212 is 212210110201122.

221102011012212 is a `hidden beast` number, since 221 + 10 + 201 + 10 + 1 + 221 + 2 = 666.

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 (221102011012219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29373078 + ... + 36124530.

Almost surely, 2221102011012212 is an apocalyptic number.

221102011012212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221102011012212 is an abundant number, since it is smaller than the sum of its proper divisors (388610997401388).

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

221102011012212 is a wasteful number, since it uses less digits than its factorization.

221102011012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834173 (or 6834168 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221102011012212 its reverse (212210110201122), we get a palindrome (433312121213334).

The spelling of 221102011012212 in words is "two hundred twenty-one trillion, one hundred two billion, eleven million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 82699 165398 248097 330796 496194 744291 909689 992388 1488582 1819378 2729067 2977164 3638756 5458134 6751453 8187201 10916268 13502906 16374402 20254359 27005812 32748804 40508718 60763077 74265983 81017436 121526154 148531966 222797949 243052308 297063932 445595898 668393847 891191796 1336787694 2673575388 558338411647 1116676823294 1675015234941 2233353646588 3350030469882 5025045704823 6141722528117 6700060939764 10050091409646 12283445056234 18425167584351 20100182819292 24566890112468 36850335168702 55275502753053 73700670337404 110551005506106 221102011012212