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13166131 = 112233467
BaseRepresentation
bin110010001110…
…011000110011
3220202220112111
4302032120303
511332304011
61150110151
7216624136
oct62163063
926686474
1013166131
117482a00
1244ab357
13295ca14
141a6a21d
151251121
hexc8e633

13166131 has 12 divisors (see below), whose sum is σ = 14565096. Its totient is φ = 11892320.

The previous prime is 13166129. The next prime is 13166137.

It is a happy number.

13166131 is nontrivially palindromic in base 10.

13166131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13166131 - 21 = 13166129 is a prime.

It is a super-2 number, since 2×131661312 = 346694011018322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13166137) 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, 27960 + ... + 28426.

It is an arithmetic number, because the mean of its divisors is an integer number (1213758).

Almost surely, 213166131 is an apocalyptic number.

13166131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13166131 is a deficient number, since it is larger than the sum of its proper divisors (1398965).

13166131 is a wasteful number, since it uses less digits than its factorization.

13166131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 13166131 is about 3628.5163634742. The cubic root of 13166131 is about 236.1308464775.

It can be divided in two parts, 1316 and 6131, that added together give a palindrome (7447).

The spelling of 13166131 in words is "thirteen million, one hundred sixty-six thousand, one hundred thirty-one".

Divisors: 1 11 121 233 467 2563 5137 28193 56507 108811 1196921 13166131