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131313819 = 3713481003
BaseRepresentation
bin1111101001110…
…11000010011011
3100011002102200210
413310323002123
5232104020234
621010302203
73153102060
oct764730233
9304072623
10131313819
116813a01a
1237b87963
13212887b0
1413622c67
15b7dcbe9
hex7d3b09b

131313819 has 16 divisors (see below), whose sum is σ = 215489792. Its totient is φ = 69264288.

The previous prime is 131313811. The next prime is 131313823. The reversal of 131313819 is 918313131.

It is a happy number.

It is not a de Polignac number, because 131313819 - 23 = 131313811 is a prime.

It is a super-2 number, since 2×1313138192 = 34486638120729522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (131313811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240229 + ... + 240774.

It is an arithmetic number, because the mean of its divisors is an integer number (13468112).

Almost surely, 2131313819 is an apocalyptic number.

131313819 is a deficient number, since it is larger than the sum of its proper divisors (84175973).

131313819 is a wasteful number, since it uses less digits than its factorization.

131313819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481026.

The product of its digits is 1944, while the sum is 30.

The square root of 131313819 is about 11459.2241883995. The cubic root of 131313819 is about 508.2805338215.

The spelling of 131313819 in words is "one hundred thirty-one million, three hundred thirteen thousand, eight hundred nineteen".

Divisors: 1 3 7 13 21 39 91 273 481003 1443009 3367021 6253039 10101063 18759117 43771273 131313819