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10304110305 = 3351931129587
BaseRepresentation
bin10011001100010110…
…00011111011100001
3222121010000001001000
421212023003323201
5132100323012210
64422244502213
7513226330626
oct114613037341
928533001030
1010304110305
114408446645
121bb69aa969
13c829c70b8
146da6c634d
1540492eac0
hex2662c3ee1

10304110305 has 64 divisors (see below), whose sum is σ = 19904716800. Its totient is φ = 5038303680.

The previous prime is 10304110273. The next prime is 10304110307. The reversal of 10304110305 is 50301140301.

10304110305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10304110305 - 25 = 10304110273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10304110307) 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 63 ways as a sum of consecutive naturals, for example, 14722 + ... + 144308.

It is an arithmetic number, because the mean of its divisors is an integer number (311011200).

Almost surely, 210304110305 is an apocalyptic number.

10304110305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10304110305 is a deficient number, since it is larger than the sum of its proper divisors (9600606495).

10304110305 is a wasteful number, since it uses less digits than its factorization.

10304110305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129651 (or 129645 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10304110305 its reverse (50301140301), we get a palindrome (60605250606).

The spelling of 10304110305 in words is "ten billion, three hundred four million, one hundred ten thousand, three hundred five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 465 513 589 837 855 1395 1767 2565 2945 4185 5301 8835 15903 26505 79515 129587 388761 647935 1166283 1943805 2462153 3498849 4017197 5831415 7386459 12051591 12310765 17494245 20085985 22159377 36154773 36932295 60257955 66478131 76326743 108464319 110796885 180773865 228980229 332390655 381633715 542321595 686940687 1144901145 2060822061 3434703435 10304110305