Search a number
-
+
212345323543212 = 223233733085966841
BaseRepresentation
bin110000010010000001111111…
…100101000101101010101100
31000211212000101200212202000120
4300102001333211011222230
5210313031210311340322
62031342032301324540
762504305033114506
oct6022017745055254
91024760350782016
10212345323543212
1161729167344282
121b995b43266750
139164102740392
143a617d5d54d76
1519838c86bba5c
hexc1207f945aac

212345323543212 has 96 divisors (see below), whose sum is σ = 518425354191360. Its totient is φ = 67519594897920.

The previous prime is 212345323543139. The next prime is 212345323543219.

212345323543212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (212345323543219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3176838912 + ... + 3176905752.

It is an arithmetic number, because the mean of its divisors is an integer number (5400264106160).

Almost surely, 2212345323543212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212345323543212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259212677095680).

212345323543212 is an abundant number, since it is smaller than the sum of its proper divisors (306080030648148).

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

212345323543212 is a wasteful number, since it uses less digits than its factorization.

212345323543212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98103 (or 98101 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 212345323543212 in words is "two hundred twelve trillion, three hundred forty-five billion, three hundred twenty-three million, five hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 373 746 1119 1492 2238 4476 8579 17158 25737 30859 34316 51474 61718 66841 92577 102948 123436 133682 185154 200523 267364 370308 401046 709757 802092 1419514 1537343 2129271 2839028 3074686 4258542 4612029 6149372 8517084 9224058 11510407 18448116 23020814 24931693 34531221 46041628 49863386 69062442 74795079 99726772 138124884 149590158 264739361 299180316 529478722 573428939 794218083 1058957444 1146857878 1588436166 1720286817 2062646419 2293715756 3176872332 3440573634 4125292838 6187939257 6881147268 8250585676 12375878514 24751757028 47440867637 94881735274 142322602911 189763470548 284645205822 569290411644 769367114287 1538734228574 2308101342861 3077468457148 4616202685722 9232405371444 17695443628601 35390887257202 53086330885803 70781774514404 106172661771606 212345323543212