Search a number
-
+
13111300202 = 2711132503777
BaseRepresentation
bin11000011010111111…
…01001000001101010
31020211202020001122012
430031133221001222
5203322443101302
610005004355522
7642624133010
oct141537510152
936752201565
1013111300202
115618a949a0
12265ab45ba2
13130c470b00
148c545c8b0
1551b0d9a52
hex30d7e906a

13111300202 has 48 divisors (see below), whose sum is σ = 26551115712. Its totient is φ = 4715343360.

The previous prime is 13111300199. The next prime is 13111300207. The reversal of 13111300202 is 20200311131.

13111300202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (13111300207) 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 23 ways as a sum of consecutive naturals, for example, 225863 + ... + 277914.

It is an arithmetic number, because the mean of its divisors is an integer number (553148244).

Almost surely, 213111300202 is an apocalyptic number.

13111300202 is an abundant number, since it is smaller than the sum of its proper divisors (13439815510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111300202 is a wasteful number, since it uses less digits than its factorization.

13111300202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503823 (or 503810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13111300202 its reverse (20200311131), we get a palindrome (33311611333).

It can be divided in two parts, 13111 and 300202, that added together give a palindrome (313313).

The spelling of 13111300202 in words is "thirteen billion, one hundred eleven million, three hundred thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2366 3718 13013 26026 503777 1007554 3526439 5541547 6549101 7052878 11083094 13098202 38790829 45843707 72040111 77581658 85138313 91687414 144080222 170276626 504280777 595968191 936521443 1008561554 1191936382 1873042886 6555650101 13111300202