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212212004213 = 113110722432593
BaseRepresentation
bin1100010110100011010…
…0100011010101110101
3202021202102022202221202
43011220310203111311
511434102233113323
6241253331422245
721221545162556
oct3055064432565
9667672282852
10212212004213
1181aa9164770
1235165454985
131701c381b81
14a3b1d2832d
1557c0620d28
hex3168d23575

212212004213 has 32 divisors (see below), whose sum is σ = 241405857792. Its totient is φ = 184798195200.

The previous prime is 212212004197. The next prime is 212212004233. The reversal of 212212004213 is 312400212212.

212212004213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212212004213 - 24 = 212212004197 is a prime.

It is a super-3 number, since 3×2122120042133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212004233) 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 31 ways as a sum of consecutive naturals, for example, 81839045 + ... + 81841637.

It is an arithmetic number, because the mean of its divisors is an integer number (7543933056).

Almost surely, 2212212004213 is an apocalyptic number.

It is an amenable number.

212212004213 is a deficient number, since it is larger than the sum of its proper divisors (29193853579).

212212004213 is a wasteful number, since it uses less digits than its factorization.

212212004213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212212004213 its reverse (312400212212), we get a palindrome (524612216425).

The spelling of 212212004213 in words is "two hundred twelve billion, two hundred twelve million, four thousand, two hundred thirteen".

Divisors: 1 11 31 107 341 1177 2243 2593 3317 24673 28523 36487 69533 80383 240001 277451 764863 884213 2640011 3051961 5816099 7440031 8600981 63977089 81840341 94610791 180299069 622322593 1983289759 6845548523 19292000383 212212004213