Search a number
-
+
13101231313 = 291013445969
BaseRepresentation
bin11000011001110010…
…01110110011010001
31020211001021111201101
430030321032303101
5203312403400223
610004004504401
7642442425442
oct141471166321
936731244641
1013101231313
115613337aa5
1226576ab101
13130a356aa1
148c3d9b2c9
1551a29b4ad
hex30ce4ecd1

13101231313 has 8 divisors (see below), whose sum is σ = 13566407400. Its totient is φ = 12636949248.

The previous prime is 13101231287. The next prime is 13101231331. The reversal of 13101231313 is 31313210131.

13101231313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1196675649 + 11904555664 = 34593^2 + 109108^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13101231313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101231343) 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 7 ways as a sum of consecutive naturals, for example, 193608 + ... + 252361.

It is an arithmetic number, because the mean of its divisors is an integer number (1695800925).

Almost surely, 213101231313 is an apocalyptic number.

It is an amenable number.

13101231313 is a deficient number, since it is larger than the sum of its proper divisors (465176087).

13101231313 is a wasteful number, since it uses less digits than its factorization.

13101231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447011.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13101231313 its reverse (31313210131), we get a palindrome (44414441444).

The spelling of 13101231313 in words is "thirteen billion, one hundred one million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 29 1013 29377 445969 12933101 451766597 13101231313