Search a number
-
+
13100010331 = 175091513927
BaseRepresentation
bin11000011001101001…
…00100101101011011
31020210221222110211211
430030310210231123
5203312100312311
610003522403551
7642426151642
oct141464445533
936727873754
1013100010331
115612683721
1226572005b7
13130a01a105
148c3b60359
1551a109821
hex30cd24b5b

13100010331 has 8 divisors (see below), whose sum is σ = 13897859040. Its totient is φ = 12305190528.

The previous prime is 13100010323. The next prime is 13100010337. The reversal of 13100010331 is 13301000131.

It is a happy number.

13100010331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13100010331 - 23 = 13100010323 is a prime.

It is a super-2 number, since 2×131000103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100010337) 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, 748311 + ... + 765616.

It is an arithmetic number, because the mean of its divisors is an integer number (1737232380).

Almost surely, 213100010331 is an apocalyptic number.

13100010331 is a deficient number, since it is larger than the sum of its proper divisors (797848709).

13100010331 is a wasteful number, since it uses less digits than its factorization.

13100010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514453.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13100010331 its reverse (13301000131), we get a palindrome (26401010462).

The spelling of 13100010331 in words is "thirteen billion, one hundred million, ten thousand, three hundred thirty-one".

Divisors: 1 17 509 8653 1513927 25736759 770588843 13100010331