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10432013345 = 513180189113
BaseRepresentation
bin10011011011100101…
…11110010000100001
3222221000200012000122
421231302332100201
5132331043411340
64443054130025
7516341436035
oct115562762041
928830605018
1010432013345
114473666036
1220317b0915
13ca335a280
1470d69c1c5
15410c96db5
hex26dcbe421

10432013345 has 16 divisors (see below), whose sum is σ = 13489007952. Its totient is φ = 7699276800.

The previous prime is 10432013321. The next prime is 10432013363. The reversal of 10432013345 is 54331023401.

10432013345 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 2456094481 + 7975918864 = 49559^2 + 89308^2 .

It is not a de Polignac number, because 10432013345 - 212 = 10432009249 is a prime.

It is a Duffinian number.

It is a Curzon number.

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, 72509 + ... + 161621.

It is an arithmetic number, because the mean of its divisors is an integer number (843062997).

Almost surely, 210432013345 is an apocalyptic number.

It is an amenable number.

10432013345 is a deficient number, since it is larger than the sum of its proper divisors (3056994607).

10432013345 is a wasteful number, since it uses less digits than its factorization.

10432013345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90932.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10432013345 its reverse (54331023401), we get a palindrome (64763036746).

The spelling of 10432013345 in words is "ten billion, four hundred thirty-two million, thirteen thousand, three hundred forty-five".

Divisors: 1 5 13 65 1801 9005 23413 89113 117065 445565 1158469 5792345 160492513 802462565 2086402669 10432013345