Search a number
-
+
13200133110 = 2351074112191
BaseRepresentation
bin11000100101100101…
…00000101111110110
31021001221101020110220
430102302200233312
5204013213224420
610021500355210
7645053165043
oct142262405766
937057336426
1013200133110
11566414941a
122684845b06
1313249a4768
148d31841ca
15523cd5840
hex312ca0bf6

13200133110 has 32 divisors (see below), whose sum is σ = 31976404992. Its totient is φ = 3487137120.

The previous prime is 13200133103. The next prime is 13200133127. The reversal of 13200133110 is 1133100231.

13200133110 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13200133110.

It is a congruent number.

It is an unprimeable number.

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, 2052886 + ... + 2059305.

It is an arithmetic number, because the mean of its divisors is an integer number (999262656).

Almost surely, 213200133110 is an apocalyptic number.

13200133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13200133110 is an abundant number, since it is smaller than the sum of its proper divisors (18776271882).

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

13200133110 is a wasteful number, since it uses less digits than its factorization.

13200133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112308.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13200133110 its reverse (1133100231), we get a palindrome (14333233341).

The spelling of 13200133110 in words is "thirteen billion, two hundred million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 535 642 1070 1605 3210 4112191 8224382 12336573 20560955 24673146 41121910 61682865 123365730 440004437 880008874 1320013311 2200022185 2640026622 4400044370 6600066555 13200133110