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213320211312 = 243132017169489
BaseRepresentation
bin1100011010101011100…
…0000001101101110000
3202101121122121112022010
43012222320001231300
511443334433230222
6241555320242520
721261162610215
oct3065270015560
9671548545263
10213320211312
11825177750aa
1235414610440
1317167b47310
14a4791a1b0c
155837a7880c
hex31aae01b70

213320211312 has 80 divisors (see below), whose sum is σ = 593765503520. Its totient is φ = 65604059136.

The previous prime is 213320211301. The next prime is 213320211367. The reversal of 213320211312 is 213112023312.

It is a super-2 number, since 2×2133202113122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1173864 + ... + 1343352.

It is an arithmetic number, because the mean of its divisors is an integer number (7422068794).

Almost surely, 2213320211312 is an apocalyptic number.

It is an amenable number.

213320211312 is an abundant number, since it is smaller than the sum of its proper divisors (380445292208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213320211312 is a wasteful number, since it uses less digits than its factorization.

213320211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171530 (or 171524 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213320211312 its reverse (213112023312), we get a palindrome (426432234624).

The spelling of 213320211312 in words is "two hundred thirteen billion, three hundred twenty million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2017 4034 6051 8068 12102 16136 24204 26221 32272 48408 52442 78663 96816 104884 157326 169489 209768 314652 338978 419536 508467 629304 677956 1016934 1258608 1355912 2033868 2203357 2711824 4067736 4406714 6610071 8135472 8813428 13220142 17626856 26440284 35253712 52880568 105761136 341859313 683718626 1025577939 1367437252 2051155878 2734874504 4102311756 4444171069 5469749008 8204623512 8888342138 13332513207 16409247024 17776684276 26665026414 35553368552 53330052828 71106737104 106660105656 213320211312