Search a number
-
+
212213030211 = 327133710169337
BaseRepresentation
bin1100010110100011100…
…0011101110101000011
3202021202111020220100200
43011220320131311003
511434103013431321
6241253405420243
721221556665040
oct3055070356503
9667674226320
10212213030211
1181aa97a55a6
123516586a683
131701c650b80
14a3b21141c7
1557c0774d26
hex3168e1dd43

212213030211 has 96 divisors (see below), whose sum is σ = 391305952128. Its totient is φ = 107831347200.

The previous prime is 212213030209. The next prime is 212213030221. The reversal of 212213030211 is 112030312212.

212213030211 is a `hidden beast` number, since 212 + 213 + 0 + 30 + 211 = 666.

212213030211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212213030211 - 21 = 212213030209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212213030221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3025935 + ... + 3095271.

It is an arithmetic number, because the mean of its divisors is an integer number (4076103668).

Almost surely, 2212213030211 is an apocalyptic number.

212213030211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212213030211 is a deficient number, since it is larger than the sum of its proper divisors (179092921917).

212213030211 is a wasteful number, since it uses less digits than its factorization.

212213030211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69501 (or 69498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212213030211 its reverse (112030312212), we get a palindrome (324243342423).

The spelling of 212213030211 in words is "two hundred twelve billion, two hundred thirteen million, thirty thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 37 39 63 91 101 111 117 259 273 303 333 481 707 777 819 909 1313 1443 2121 2331 3367 3737 3939 4329 6363 9191 10101 11211 11817 26159 27573 30303 33633 48581 69337 78477 82719 145743 208011 235431 340067 437229 485359 624033 901381 1020201 1456077 2565469 2704143 3060603 4368231 6309667 7003037 7696407 8112429 17958283 18929001 21009111 23089221 33351097 49021259 53874849 56787003 63027333 91039481 100053291 147063777 161624547 233457679 259112369 273118443 300159873 441191331 637276367 700373037 777337107 819355329 1813786583 1911829101 2101119111 2332011321 3368460797 5441359749 5735487303 10105382391 16324079247 23579225579 30316147173 70737676737 212213030211