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9106131 = 35875171
BaseRepresentation
bin100010101111…
…001011010011
3122010122021010
4202233023103
54312344011
6523102003
7140254326
oct42571323
918118233
109106131
11515a631
123071903
131b6aa58
1412d07bd
15bed1a6
hex8af2d3

9106131 has 8 divisors (see below), whose sum is σ = 12164544. Its totient is φ = 6059240.

The previous prime is 9106121. The next prime is 9106151. The reversal of 9106131 is 1316019.

It is a happy number.

9106131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9106131 - 25 = 9106099 is a prime.

It is a super-3 number, since 3×91061313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

9106131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9106098 and 9106107.

It is not an unprimeable number, because it can be changed into a prime (9106121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 4346.

It is an arithmetic number, because the mean of its divisors is an integer number (1520568).

Almost surely, 29106131 is an apocalyptic number.

9106131 is a deficient number, since it is larger than the sum of its proper divisors (3058413).

9106131 is a wasteful number, since it uses less digits than its factorization.

9106131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 9106131 is about 3017.6366580488. The cubic root of 9106131 is about 208.8228239829.

The spelling of 9106131 in words is "nine million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 3 587 1761 5171 15513 3035377 9106131