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22002112111221 = 32118317551152563
BaseRepresentation
bin1010000000010110001000…
…00100111010001001110101
32212220101022000121201112100
411000023010010322021311
510340440311200024341
6114443344125012313
74430412564125424
oct500130404721165
985811260551470
1022002112111221
117013052769290
1225741a69b4099
13c37a372b6758
14560c9d42b2bb
152824d34be3b6
hex1402c413a275

22002112111221 has 48 divisors (see below), whose sum is σ = 35089934810112. Its totient is φ = 13173118452000.

The previous prime is 22002112111211. The next prime is 22002112111297. The reversal of 22002112111221 is 12211121120022.

22002112111221 is a `hidden beast` number, since 2 + 20 + 0 + 211 + 211 + 1 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22002112111221 is a prime.

It is a super-2 number, since 2×220021121112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22002112111194 and 22002112111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002112111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144140286 + ... + 144292848.

It is an arithmetic number, because the mean of its divisors is an integer number (731040308544).

Almost surely, 222002112111221 is an apocalyptic number.

It is an amenable number.

22002112111221 is a deficient number, since it is larger than the sum of its proper divisors (13087822698891).

22002112111221 is a wasteful number, since it uses less digits than its factorization.

22002112111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170214 (or 170211 counting only the distinct ones).

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

Adding to 22002112111221 its reverse (12211121120022), we get a palindrome (34213233231243).

The spelling of 22002112111221 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 17551 52653 152563 157959 193061 457689 579183 1373067 1456733 1678193 1737549 4370199 5034579 12662729 13110597 15103737 16024063 37988187 48072189 113964561 139290019 144216567 417870057 1253610171 2677633213 8032899639 24098698917 29453965343 88361896029 222243556679 265085688087 666730670037 2000192010111 2444679123469 7334037370407 22002112111221