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131010109 = 1716347279
BaseRepresentation
bin1111100111100…
…00111000111101
3100010112000002021
413303300320331
5232014310414
621000000141
73150365446
oct763607075
9303460067
10131010109
1167a5191a
1237a60051
13211b0499
14135842cd
15b77cc24
hex7cf0e3d

131010109 has 8 divisors (see below), whose sum is σ = 139570560. Its totient is φ = 122544576.

The previous prime is 131010091. The next prime is 131010133. The reversal of 131010109 is 901010131.

It is a happy number.

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 131010109 - 29 = 131009597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131010092 and 131010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20869 + ... + 26410.

It is an arithmetic number, because the mean of its divisors is an integer number (17446320).

Almost surely, 2131010109 is an apocalyptic number.

It is an amenable number.

131010109 is a deficient number, since it is larger than the sum of its proper divisors (8560451).

131010109 is a wasteful number, since it uses less digits than its factorization.

131010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47459.

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 131010109 is about 11445.9647474558. The cubic root of 131010109 is about 507.8883713742. Note that the first 3 decimals are identical.

The spelling of 131010109 in words is "one hundred thirty-one million, ten thousand, one hundred nine".

Divisors: 1 17 163 2771 47279 803743 7706477 131010109