Search a number
-
+
13201120 = 25582507
BaseRepresentation
bin110010010110…
…111011100000
3220211200112101
4302112323200
511334413440
61150540144
7220131142
oct62267340
926750471
1013201120
1174a7219
124507654
13297291a
141a78c92
15125b69a
hexc96ee0

13201120 has 24 divisors (see below), whose sum is σ = 31188024. Its totient is φ = 5280384.

The previous prime is 13201117. The next prime is 13201121. The reversal of 13201120 is 2110231.

13201120 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 13201097 and 13201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41094 + ... + 41413.

It is an arithmetic number, because the mean of its divisors is an integer number (1299501).

Almost surely, 213201120 is an apocalyptic number.

13201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201120 is an abundant number, since it is smaller than the sum of its proper divisors (17986904).

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

13201120 is an equidigital number, since it uses as much as digits as its factorization.

13201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82522 (or 82514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13201120 is about 3633.3345565747. The cubic root of 13201120 is about 236.3398340744.

Adding to 13201120 its reverse (2110231), we get a palindrome (15311351).

The spelling of 13201120 in words is "thirteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 82507 165014 330028 412535 660056 825070 1320112 1650140 2640224 3300280 6600560 13201120