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13103012304 = 243410110349
BaseRepresentation
bin11000011010000000…
…00001100111010000
31020211011121222210000
430031000001213100
5203313332343204
610004111010000
7642463524024
oct141500014720
936734558700
1013103012304
115614344098
122658209900
13130a82b625
148c4302384
1551a4ee039
hex30d0019d0

13103012304 has 50 divisors (see below), whose sum is σ = 37923922850. Its totient is φ = 4367670336.

The previous prime is 13103012257. The next prime is 13103012309. The reversal of 13103012304 is 40321030131.

13103012304 is a `hidden beast` number, since 131 + 0 + 301 + 230 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8473570704 + 4629441600 = 92052^2 + 68040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103012309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5053879 + ... + 5056470.

It is an arithmetic number, because the mean of its divisors is an integer number (758478457).

Almost surely, 213103012304 is an apocalyptic number.

It is an amenable number.

13103012304 is an abundant number, since it is smaller than the sum of its proper divisors (24820910546).

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

13103012304 is a wasteful number, since it uses less digits than its factorization.

13103012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110369 (or 10110354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13103012304 its reverse (40321030131), we get a palindrome (53424042435).

The spelling of 13103012304 in words is "thirteen billion, one hundred three million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10110349 20220698 30331047 40441396 60662094 80882792 90993141 121324188 161765584 181986282 242648376 272979423 363972564 485296752 545958846 727945128 818938269 1091917692 1455890256 1637876538 2183835384 3275753076 4367670768 6551506152 13103012304