Search a number
-
+
10432242305 = 510956933641
BaseRepresentation
bin10011011011100111…
…10110001010000001
3222221001002211002122
421231303312022001
5132331123223210
64443103054025
7516343411412
oct115563661201
928831084078
1010432242305
114473802061
1220318a1315
13ca340a554
1470d71b809
15410cdeb55
hex26dcf6281

10432242305 has 16 divisors (see below), whose sum is σ = 12656120400. Its totient is φ = 8254448640.

The previous prime is 10432242283. The next prime is 10432242311. The reversal of 10432242305 is 50324223401.

10432242305 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 8 ways, for example, as 3952144 + 10428290161 = 1988^2 + 102119^2 .

It is a de Polignac number, because none of the positive numbers 2k-10432242305 is a prime.

It is a super-3 number, since 3×104322423053 (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 293285 + ... + 326925.

It is an arithmetic number, because the mean of its divisors is an integer number (791007525).

Almost surely, 210432242305 is an apocalyptic number.

It is an amenable number.

10432242305 is a deficient number, since it is larger than the sum of its proper divisors (2223878095).

10432242305 is a wasteful number, since it uses less digits than its factorization.

10432242305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34324.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 10432242305 its reverse (50324223401), we get a palindrome (60756465706).

The spelling of 10432242305 in words is "ten billion, four hundred thirty-two million, two hundred forty-two thousand, three hundred five".

Divisors: 1 5 109 545 569 2845 33641 62021 168205 310105 3666869 18334345 19141729 95708645 2086448461 10432242305