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12443420200 = 235288170621
BaseRepresentation
bin10111001011010111…
…11000011000101000
31012010012111020111211
423211223320120220
5200441003421300
65414425402504
7620234220001
oct134553703050
935105436454
1012443420200
115305a93852
1224b3339434
131233c99643
148608861a8
154cc65e4ba
hex2e5af8628

12443420200 has 48 divisors (see below), whose sum is σ = 28964200860. Its totient is φ = 4971648000.

The previous prime is 12443420167. The next prime is 12443420239. The reversal of 12443420200 is 202434421.

It is a happy number.

12443420200 is digitally balanced in base 2, 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 6 ways, for example, as 4802212804 + 7641207396 = 69298^2 + 87414^2 .

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 11 ways as a sum of consecutive naturals, for example, 140890 + ... + 211510.

Almost surely, 212443420200 is an apocalyptic number.

12443420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12443420200 is an abundant number, since it is smaller than the sum of its proper divisors (16520780660).

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

12443420200 is a wasteful number, since it uses less digits than its factorization.

12443420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71518 (or 71509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12443420200 its reverse (202434421), we get a palindrome (12645854621).

The spelling of 12443420200 in words is "twelve billion, four hundred forty-three million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 881 1762 3524 4405 7048 8810 17620 22025 35240 44050 70621 88100 141242 176200 282484 353105 564968 706210 1412420 1765525 2824840 3531050 7062100 14124200 62217101 124434202 248868404 311085505 497736808 622171010 1244342020 1555427525 2488684040 3110855050 6221710100 12443420200