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212031112212 = 223411326921529
BaseRepresentation
bin1100010101111000001…
…0100000010000010100
3202021021210221111210000
43011132002200100110
511433214431042322
6241223350331300
721214220500623
oct3053602402024
9667253844700
10212031112212
1181a16042947
1235114959b30
1316cc0a57c9a
14a395cbb6ba
1557ae7dd3ac
hex315e0a0414

212031112212 has 120 divisors (see below), whose sum is σ = 561301309800. Its totient is φ = 69787920384.

The previous prime is 212031112211. The next prime is 212031112247. The reversal of 212031112212 is 212211130212.

212031112212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29228689296 + 182802422916 = 170964^2 + 427554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212031112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9837864 + ... + 9859392.

It is an arithmetic number, because the mean of its divisors is an integer number (4677510915).

Almost surely, 2212031112212 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 212031112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280650654900).

212031112212 is an abundant number, since it is smaller than the sum of its proper divisors (349270197588).

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

212031112212 is a wasteful number, since it uses less digits than its factorization.

212031112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212031112212 its reverse (212211130212), we get a palindrome (424242242424).

The spelling of 212031112212 in words is "two hundred twelve billion, thirty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 269 324 339 452 538 678 807 1017 1076 1356 1614 2034 2421 3051 3228 4068 4842 6102 7263 9153 9684 12204 14526 18306 21529 21789 29052 30397 36612 43058 43578 60794 64587 86116 87156 91191 121588 129174 182382 193761 258348 273573 364764 387522 547146 581283 775044 820719 1094292 1162566 1641438 1743849 2325132 2432777 2462157 3282876 3487698 4865554 4924314 5791301 6975396 7298331 9731108 9848628 11582602 14596662 17373903 21894993 23165204 29193324 34747806 43789986 52121709 65684979 69495612 87579972 104243418 131369958 156365127 197054937 208486836 262739916 312730254 394109874 469095381 625460508 654417013 788219748 938190762 1308834026 1876381524 1963251039 2617668052 3926502078 5889753117 7853004156 11779506234 17669259351 23559012468 35338518702 53007778053 70677037404 106015556106 212031112212