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13130021304 = 2332727250841
BaseRepresentation
bin11000011101001110…
…00011100110111000
31020220001110012011100
430032213003212320
5203342241140204
610010513531400
7643242224331
oct141647034670
936801405140
1013130021304
115628611384
122665273b60
1313132c709a
148c7b33288
1551ca86a39
hex30e9c39b8

13130021304 has 48 divisors (see below), whose sum is σ = 35609530320. Its totient is φ = 4370636160.

The previous prime is 13130021291. The next prime is 13130021309. The reversal of 13130021304 is 40312003131.

13130021304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13130021309) 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 11 ways as a sum of consecutive naturals, for example, 73077 + ... + 177764.

It is an arithmetic number, because the mean of its divisors is an integer number (741865215).

Almost surely, 213130021304 is an apocalyptic number.

It is an amenable number.

13130021304 is an abundant number, since it is smaller than the sum of its proper divisors (22479509016).

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

13130021304 is a wasteful number, since it uses less digits than its factorization.

13130021304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251580 (or 251573 counting only the distinct ones).

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

Adding to 13130021304 its reverse (40312003131), we get a palindrome (53442024435).

The spelling of 13130021304 in words is "thirteen billion, one hundred thirty million, twenty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 727 1454 2181 2908 4362 5816 6543 8724 13086 17448 26172 52344 250841 501682 752523 1003364 1505046 2006728 2257569 3010092 4515138 6020184 9030276 18060552 182361407 364722814 547084221 729445628 1094168442 1458891256 1641252663 2188336884 3282505326 4376673768 6565010652 13130021304