Search a number
-
+
13031130011 = 371794993943
BaseRepresentation
bin11000010001011011…
…10100001110011011
31020122011100222210212
430020231310032123
5203141432130021
65553022201335
7640631530454
oct141055641633
936564328725
1013031130011
115587807939
12263812324b
1312c8981123
148b895012b
1551405085b
hex308b7439b

13031130011 has 16 divisors (see below), whose sum is σ = 13488480000. Its totient is φ = 12579647328.

The previous prime is 13031129983. The next prime is 13031130017. The reversal of 13031130011 is 11003113031.

It is a happy number.

13031130011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13031130011 - 230 = 11957388187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031130017) 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 15 ways as a sum of consecutive naturals, for example, 3302906 + ... + 3306848.

It is an arithmetic number, because the mean of its divisors is an integer number (843030000).

Almost surely, 213031130011 is an apocalyptic number.

13031130011 is a deficient number, since it is larger than the sum of its proper divisors (457349989).

13031130011 is a wasteful number, since it uses less digits than its factorization.

13031130011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13031130011 its reverse (11003113031), we get a palindrome (24034243042).

The spelling of 13031130011 in words is "thirteen billion, thirty-one million, one hundred thirty thousand, eleven".

Divisors: 1 37 179 499 3943 6623 18463 89321 145891 705797 1967557 3304877 26114489 72799609 352192703 13031130011