Search a number
-
+
212201032221 = 32372143297359
BaseRepresentation
bin1100010110100000101…
…0101100101000011101
3202021201122200100012200
43011220022230220131
511434041431012341
6241252300322113
721221353004343
oct3055012545035
9667648610180
10212201032221
1181aa2a50302
1235161843339
131701a00ca79
14a3b06ad993
1557be6a4db6
hex31682aca1d

212201032221 has 24 divisors (see below), whose sum is σ = 314944680960. Its totient is φ = 137579220576.

The previous prime is 212201032187. The next prime is 212201032223. The reversal of 212201032221 is 122230102212.

212201032221 is a `hidden beast` number, since 212 + 201 + 0 + 32 + 221 = 666.

It is not a de Polignac number, because 212201032221 - 26 = 212201032157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212201032194 and 212201032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201032223) 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 23 ways as a sum of consecutive naturals, for example, 564940 + ... + 862298.

It is an arithmetic number, because the mean of its divisors is an integer number (13122695040).

Almost surely, 2212201032221 is an apocalyptic number.

It is an amenable number.

212201032221 is a deficient number, since it is larger than the sum of its proper divisors (102743648739).

212201032221 is a wasteful number, since it uses less digits than its factorization.

212201032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299545 (or 299542 counting only the distinct ones).

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

Adding to 212201032221 its reverse (122230102212), we get a palindrome (334431134433).

The spelling of 212201032221 in words is "two hundred twelve billion, two hundred one million, thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 2143 6429 19287 79291 237873 297359 713619 892077 2676231 11002283 33006849 99020547 637240337 1911721011 5735163033 23577892469 70733677407 212201032221