Search a number
-
+
13132731305 = 54767859971
BaseRepresentation
bin11000011101100010…
…11001001110101001
31020220020112212120202
430032301121032221
5203343434400210
610011052001545
7643304242241
oct141661311651
936806485522
1013132731305
11562a0a2451
1226661602b5
131313a35735
148c823ab21
1551ce1e9a5
hex30ec593a9

13132731305 has 32 divisors (see below), whose sum is σ = 16370657280. Its totient is φ = 10106965440.

The previous prime is 13132731253. The next prime is 13132731307. The reversal of 13132731305 is 50313723131.

13132731305 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 13132731305 - 222 = 13128537001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132731307) 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 31 ways as a sum of consecutive naturals, for example, 13524470 + ... + 13525440.

It is an arithmetic number, because the mean of its divisors is an integer number (511583040).

Almost surely, 213132731305 is an apocalyptic number.

It is an amenable number.

13132731305 is a deficient number, since it is larger than the sum of its proper divisors (3237925975).

13132731305 is an equidigital number, since it uses as much as digits as its factorization.

13132731305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949.

The product of its (nonzero) digits is 5670, while the sum is 29.

The spelling of 13132731305 in words is "thirteen billion, one hundred thirty-two million, seven hundred thirty-one thousand, three hundred five".

Divisors: 1 5 47 67 235 335 859 971 3149 4295 4855 15745 40373 45637 57553 65057 201865 228185 287765 325285 834089 2704991 3057679 4170445 13524955 15288395 39202183 55883963 196010915 279419815 2626546261 13132731305