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13188141 = 321786197
BaseRepresentation
bin110010010011…
…110000101101
3220211000201200
4302103300231
511334010031
61150400113
7220045251
oct62236055
926730650
1013188141
11749849a
124500039
132969a45
141a74261
1512578e6
hexc93c2d

13188141 has 12 divisors (see below), whose sum is σ = 20170332. Its totient is φ = 8274816.

The previous prime is 13188137. The next prime is 13188187. The reversal of 13188141 is 14188131.

13188141 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 2 ways, for example, as 3861225 + 9326916 = 1965^2 + 3054^2 .

It is not a de Polignac number, because 13188141 - 22 = 13188137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42946 + ... + 43251.

It is an arithmetic number, because the mean of its divisors is an integer number (1680861).

Almost surely, 213188141 is an apocalyptic number.

It is an amenable number.

13188141 is a deficient number, since it is larger than the sum of its proper divisors (6982191).

13188141 is a wasteful number, since it uses less digits than its factorization.

13188141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86220 (or 86217 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 13188141 is about 3631.5480170308. The cubic root of 13188141 is about 236.2623542712.

The spelling of 13188141 in words is "thirteen million, one hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 86197 258591 775773 1465349 4396047 13188141