Search a number
-
+
212313032200 = 23522350779091
BaseRepresentation
bin1100010110111011010…
…1111100011000001000
3202022000110102112022001
43011232311330120020
511434304114012300
6241311341040344
721224212666033
oct3055665743010
9668013375261
10212313032200
1182050198575
12351932560b4
1317037295549
14a3c150601a
1557c942a16a
hex316ed7c608

212313032200 has 96 divisors (see below), whose sum is σ = 515248004160. Its totient is φ = 81207878400.

The previous prime is 212313032167. The next prime is 212313032201. The reversal of 212313032200 is 2230313212.

212313032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212313032201) 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 23 ways as a sum of consecutive naturals, for example, 23349655 + ... + 23358745.

It is an arithmetic number, because the mean of its divisors is an integer number (5367166710).

Almost surely, 2212313032200 is an apocalyptic number.

212313032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212313032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257624002080).

212313032200 is an abundant number, since it is smaller than the sum of its proper divisors (302934971960).

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

212313032200 is a wasteful number, since it uses less digits than its factorization.

212313032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14207 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212313032200 its reverse (2230313212), we get a palindrome (214543345412).

The spelling of 212313032200 in words is "two hundred twelve billion, three hundred thirteen million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 5077 9091 10154 18182 20308 25385 36364 40616 45455 50770 72728 90910 101540 116771 126925 181820 203080 209093 227275 233542 253850 363640 418186 454550 467084 507700 583855 836372 909100 934168 1015400 1045465 1167710 1672744 1818200 2090930 2335420 2919275 4181860 4670840 5227325 5838550 8363720 10454650 11677100 20909300 23354200 41818600 46155007 92310014 184620028 230775035 369240056 461550070 923100140 1061565161 1153875175 1846200280 2123130322 2307750350 4246260644 4615500700 5307825805 8492521288 9231001400 10615651610 21231303220 26539129025 42462606440 53078258050 106156516100 212313032200