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131101209 = 3214566801
BaseRepresentation
bin1111101000001…
…11001000011001
3100010200122001100
413310013020121
5232030214314
621001542013
73151225161
oct764071031
9303618040
10131101209
1168004308
1237aa4909
1321212aa5
14135a95a1
15b799c09
hex7d07219

131101209 has 6 divisors (see below), whose sum is σ = 189368426. Its totient is φ = 87400800.

The previous prime is 131101207. The next prime is 131101213. The reversal of 131101209 is 902101131.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 37785609 = 9660^2 + 6147^2 .

It is not a de Polignac number, because 131101209 - 21 = 131101207 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131101191 and 131101200.

It is not an unprimeable number, because it can be changed into a prime (131101207) 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 5 ways as a sum of consecutive naturals, for example, 7283392 + ... + 7283409.

Almost surely, 2131101209 is an apocalyptic number.

It is an amenable number.

131101209 is a deficient number, since it is larger than the sum of its proper divisors (58267217).

131101209 is a wasteful number, since it uses less digits than its factorization.

131101209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566807 (or 14566804 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 131101209 is about 11449.9436243154. The cubic root of 131101209 is about 508.0060668980.

The spelling of 131101209 in words is "one hundred thirty-one million, one hundred one thousand, two hundred nine".

Divisors: 1 3 9 14566801 43700403 131101209