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13105161 = 328916361
BaseRepresentation
bin110001111111…
…100000001001
3220122210220100
4301333200021
511323331121
61144520013
7216251316
oct61774011
926583810
1013105161
117441113
124480009
13293b044
141a51d0d
15123d026
hexc7f809

13105161 has 12 divisors (see below), whose sum is σ = 19143540. Its totient is φ = 8638080.

The previous prime is 13105159. The next prime is 13105163. The reversal of 13105161 is 16150131.

13105161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13105159) and next prime (13105163).

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 9418761 = 1920^2 + 3069^2 .

It is not a de Polignac number, because 13105161 - 21 = 13105159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13105163) 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, 7380 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (1595295).

Almost surely, 213105161 is an apocalyptic number.

It is an amenable number.

13105161 is a deficient number, since it is larger than the sum of its proper divisors (6038379).

13105161 is a wasteful number, since it uses less digits than its factorization.

13105161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16456 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 13105161 is about 3620.1051089713. The cubic root of 13105161 is about 235.7657891393.

Adding to 13105161 its reverse (16150131), we get a palindrome (29255292).

The spelling of 13105161 in words is "thirteen million, one hundred five thousand, one hundred sixty-one".

Divisors: 1 3 9 89 267 801 16361 49083 147249 1456129 4368387 13105161