Search a number
-
+
12433122200 = 2352127489493
BaseRepresentation
bin10111001010001001…
…00110001110011000
31012002111010001022102
423211010212032120
5200430334402300
65413420542532
7620050536452
oct134504461630
935074101272
1012433122200
11530019a804
1224ab9b1a48
131231b02255
1485d3652d2
154cb7c80d5
hex2e5126398

12433122200 has 48 divisors (see below), whose sum is σ = 29134682880. Its totient is φ = 4934079360.

The previous prime is 12433122181. The next prime is 12433122209. The reversal of 12433122200 is 222133421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433122209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219347 + ... + 270146.

It is an arithmetic number, because the mean of its divisors is an integer number (606972560).

Almost surely, 212433122200 is an apocalyptic number.

12433122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12433122200 is an abundant number, since it is smaller than the sum of its proper divisors (16701560680).

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

12433122200 is a wasteful number, since it uses less digits than its factorization.

12433122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489636 (or 489627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12433122200 its reverse (222133421), we get a palindrome (12655255621).

The spelling of 12433122200 in words is "twelve billion, four hundred thirty-three million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 1016 1270 2540 3175 5080 6350 12700 25400 489493 978986 1957972 2447465 3915944 4894930 9789860 12237325 19579720 24474650 48949300 62165611 97898600 124331222 248662444 310828055 497324888 621656110 1243312220 1554140275 2486624440 3108280550 6216561100 12433122200