Search a number
-
+
12222102000213 = 3271967152397187
BaseRepresentation
bin1011000111011010111000…
…0011000101001001010101
31121021102101022011201202100
42301312232003011021111
53100221331103001323
641554431154432313
72401006036610640
oct261665603051125
947242338151670
1012222102000213
113992400a49986
121454885292699
136a8701a24aa1
143037a51d2a57
15162dd1920943
hexb1dae0c5255

12222102000213 has 48 divisors (see below), whose sum is σ = 21555058270720. Its totient is φ = 6517722850848.

The previous prime is 12222102000127. The next prime is 12222102000259. The reversal of 12222102000213 is 31200020122221.

12222102000213 is a `hidden beast` number, since 1 + 222 + 210 + 20 + 0 + 0 + 213 = 666.

It is not a de Polignac number, because 12222102000213 - 216 = 12222101934677 is a prime.

It is a super-2 number, since 2×122221020002132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222102000113) 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, 76118395 + ... + 76278792.

Almost surely, 212222102000213 is an apocalyptic number.

It is an amenable number.

12222102000213 is a deficient number, since it is larger than the sum of its proper divisors (9332956270507).

12222102000213 is a wasteful number, since it uses less digits than its factorization.

12222102000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152397286 (or 152397283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12222102000213 its reverse (31200020122221), we get a palindrome (43422122122434).

The spelling of 12222102000213 in words is "twelve trillion, two hundred twenty-two billion, one hundred two million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 57 63 67 133 171 201 399 469 603 1197 1273 1407 3819 4221 8911 11457 26733 80199 152397187 457191561 1066780309 1371574683 2895546553 3200340927 8686639659 9601022781 10210611529 20268825871 26059918977 30631834587 60806477613 71474280703 91895503761 182419432839 194001619051 214422842109 582004857153 643268526327 1358011333357 1746014571459 4074034000071 12222102000213