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131305823 = 1129411617
BaseRepresentation
bin1111101001110…
…01000101011111
3100011002000201122
413310321011133
5232103241243
621010201155
73153036545
oct764710537
9304060648
10131305823
1168134010
1237b831bb
1321284c6c
141361dd95
15b7da668
hex7d3915f

131305823 has 8 divisors (see below), whose sum is σ = 148182480. Its totient is φ = 115252480.

The previous prime is 131305793. The next prime is 131305829. The reversal of 131305823 is 328503131.

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 131305823 - 28 = 131305567 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131305792 and 131305801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131305829) 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, 205490 + ... + 206127.

It is an arithmetic number, because the mean of its divisors is an integer number (18522810).

Almost surely, 2131305823 is an apocalyptic number.

131305823 is a deficient number, since it is larger than the sum of its proper divisors (16876657).

131305823 is a wasteful number, since it uses less digits than its factorization.

131305823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411657.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 131305823 is about 11458.8752938497. The cubic root of 131305823 is about 508.2702168224.

Adding to 131305823 its reverse (328503131), we get a palindrome (459808954).

The spelling of 131305823 in words is "one hundred thirty-one million, three hundred five thousand, eight hundred twenty-three".

Divisors: 1 11 29 319 411617 4527787 11936893 131305823