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212200322313 = 3714990774771
BaseRepresentation
bin1100010110100000011…
…1111111010100001001
3202021201121100021101210
43011220013333110021
511434041240303223
6241252233203333
721221343656550
oct3055007772411
9667647307353
10212200322313
1181aa2605a01
1235161560549
1317019b218c5
14a3b0566d97
1557be5b4893
hex31681ff509

212200322313 has 32 divisors (see below), whose sum is σ = 325886284800. Its totient is φ = 120309117120.

The previous prime is 212200322311. The next prime is 212200322357. The reversal of 212200322313 is 313223002212.

It is a happy number.

212200322313 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 212200322313 - 21 = 212200322311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212200322313.

It is not an unprimeable number, because it can be changed into a prime (212200322311) 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, 2800618 + ... + 2875388.

It is an arithmetic number, because the mean of its divisors is an integer number (10183946400).

Almost surely, 2212200322313 is an apocalyptic number.

It is an amenable number.

212200322313 is a deficient number, since it is larger than the sum of its proper divisors (113685962487).

212200322313 is a wasteful number, since it uses less digits than its factorization.

212200322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75837.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212200322313 its reverse (313223002212), we get a palindrome (525423324525).

The spelling of 212200322313 in words is "two hundred twelve billion, two hundred million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 149 447 907 1043 2721 3129 6349 19047 74771 135143 224313 405429 523397 946001 1570191 2838003 11140879 33422637 67817297 77986153 203451891 233958459 474721079 1424163237 10104777253 30314331759 70733440771 212200322313