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131413124 = 22113290737
BaseRepresentation
bin1111101010100…
…11010010000100
3100011021110220202
413311103102010
5232120204444
621012350032
73153664433
oct765232204
9304243822
10131413124
11681a7697
1238015318
13212c1a5b
141364b11a
15b80c34e
hex7d53484

131413124 has 12 divisors (see below), whose sum is σ = 232008924. Its totient is φ = 65124864.

The previous prime is 131413097. The next prime is 131413127. The reversal of 131413124 is 421314131.

It can be written as a sum of positive squares in 2 ways, for example, as 5569600 + 125843524 = 2360^2 + 11218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131413096 and 131413105.

It is not an unprimeable number, because it can be changed into a prime (131413127) 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 3 ways as a sum of consecutive naturals, for example, 144917 + ... + 145820.

It is an arithmetic number, because the mean of its divisors is an integer number (19334077).

Almost surely, 2131413124 is an apocalyptic number.

It is an amenable number.

131413124 is a deficient number, since it is larger than the sum of its proper divisors (100595800).

131413124 is a wasteful number, since it uses less digits than its factorization.

131413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290854 (or 290852 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 131413124 is about 11463.5563417292. The cubic root of 131413124 is about 508.4086291999.

Adding to 131413124 its reverse (421314131), we get a palindrome (552727255).

The spelling of 131413124 in words is "one hundred thirty-one million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 113 226 452 290737 581474 1162948 32853281 65706562 131413124