Search a number
-
+
12430110432 = 253235629579
BaseRepresentation
bin10111001001110010…
…00110111011100000
31012002021110000221110
423210321012323200
5200424102013212
65413232223320
7620013124005
oct134471067340
935067400843
1012430110432
1152a9522a43
1224aa99ab40
1312312b943c
1485cbbd8ac
154cb3d0a3c
hex2e4e46ee0

12430110432 has 48 divisors (see below), whose sum is σ = 34047699840. Its totient is φ = 3963222912.

The previous prime is 12430110419. The next prime is 12430110437. The reversal of 12430110432 is 23401103421.

12430110432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12430110399 and 12430110408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430110437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2812582 + ... + 2816997.

It is an arithmetic number, because the mean of its divisors is an integer number (709327080).

Almost surely, 212430110432 is an apocalyptic number.

12430110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430110432 is an abundant number, since it is smaller than the sum of its proper divisors (21617589408).

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

12430110432 is a wasteful number, since it uses less digits than its factorization.

12430110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629615 (or 5629607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12430110432 its reverse (23401103421), we get a palindrome (35831213853).

The spelling of 12430110432 in words is "twelve billion, four hundred thirty million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5629579 11259158 16888737 22518316 33777474 45036632 67554948 90073264 129480317 135109896 180146528 258960634 270219792 388440951 517921268 540439584 776881902 1035842536 1553763804 2071685072 3107527608 4143370144 6215055216 12430110432