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212200012213 = 71301169313763
BaseRepresentation
bin1100010110100000011…
…0110011100110110101
3202021201120202112000121
43011220012303212311
511434041200342323
6241252222411541
721221341225510
oct3055006634665
9667646675017
10212200012213
1181aa2413a22
1235161430bb1
1317019a43707
14a3b04c5d77
1557be552a5d
hex31681b39b5

212200012213 has 16 divisors (see below), whose sum is σ = 242861705856. Its totient is φ = 181625371200.

The previous prime is 212200012183. The next prime is 212200012217. The reversal of 212200012213 is 312210002212.

It is a happy number.

212200012213 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 212200012213 - 225 = 212166457781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200012217) 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 15 ways as a sum of consecutive naturals, for example, 15411270 + ... + 15425032.

It is an arithmetic number, because the mean of its divisors is an integer number (15178856616).

Almost surely, 2212200012213 is an apocalyptic number.

It is an amenable number.

212200012213 is a deficient number, since it is larger than the sum of its proper divisors (30661693643).

212200012213 is a wasteful number, since it uses less digits than its factorization.

212200012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16764.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212200012213 its reverse (312210002212), we get a palindrome (524410014425).

The spelling of 212200012213 in words is "two hundred twelve billion, two hundred million, twelve thousand, two hundred thirteen".

Divisors: 1 7 1301 1693 9107 11851 13763 96341 2202593 15418151 17905663 23300759 125339641 163105313 30314287459 212200012213