Search a number
-
+
13130004320303 = 13471311016316141
BaseRepresentation
bin1011111100010001000100…
…1111100101000000101111
31201111012211120120021020112
42333010101033211000233
53210110222101222203
643531501332210235
72523416514161363
oct277042117450057
951435746507215
1013130004320303
11420244915a822
121580823a6997b
13743200713530
143356d1cd72a3
1517b81caa06d8
hexbf1113e502f

13130004320303 has 32 divisors (see below), whose sum is σ = 14553424714752. Its totient is φ = 11769693436800.

The previous prime is 13130004320281. The next prime is 13130004320309. The reversal of 13130004320303 is 30302340003131.

13130004320303 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 13130004320303 - 28 = 13130004320047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130004320309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813448613 + ... + 813464753.

It is an arithmetic number, because the mean of its divisors is an integer number (454794522336).

Almost surely, 213130004320303 is an apocalyptic number.

13130004320303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13130004320303 is a deficient number, since it is larger than the sum of its proper divisors (1423420394449).

13130004320303 is a wasteful number, since it uses less digits than its factorization.

13130004320303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26495.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13130004320303 its reverse (30302340003131), we get a palindrome (43432344323434).

The spelling of 13130004320303 in words is "thirteen trillion, one hundred thirty billion, four million, three hundred twenty thousand, three hundred three".

Divisors: 1 13 47 131 611 1703 6157 10163 16141 80041 132119 209833 477661 758627 1331353 2114471 6209593 9862151 17307589 27488123 62573591 99380137 164040983 813456683 1291941781 2132532779 7709926201 21489368773 100229040613 279361794049 1010000332331 13130004320303