Search a number
-
+
131666320741 = 12737312972143
BaseRepresentation
bin111101010011111101…
…1001001110101100101
3110120212001102002221211
41322213323021311211
54124123034230431
6140253042111421
712340546155214
oct1724773116545
9416761362854
10131666320741
115092622960a
122162694b571
13c55418b537
14653090507b
1536592b32b1
hex1ea7ec9d65

131666320741 has 16 divisors (see below), whose sum is σ = 133223563264. Its totient is φ = 130118171904.

The previous prime is 131666320711. The next prime is 131666320769. The reversal of 131666320741 is 147023666131.

It is a cyclic number.

It is not a de Polignac number, because 131666320741 - 213 = 131666312549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131666320694 and 131666320703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131666320711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61439116 + ... + 61441258.

It is an arithmetic number, because the mean of its divisors is an integer number (8326472704).

Almost surely, 2131666320741 is an apocalyptic number.

It is an amenable number.

131666320741 is a deficient number, since it is larger than the sum of its proper divisors (1557242523).

131666320741 is a wasteful number, since it uses less digits than its factorization.

131666320741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940.

The product of its (nonzero) digits is 108864, while the sum is 40.

Adding to 131666320741 its reverse (147023666131), we get a palindrome (278689986872).

The spelling of 131666320741 in words is "one hundred thirty-one billion, six hundred sixty-six million, three hundred twenty thousand, seven hundred forty-one".

Divisors: 1 127 373 1297 2143 47371 164719 272161 483781 799339 2779471 61440187 101516053 352992817 1036742683 131666320741