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131404322010505 = 567738819592913
BaseRepresentation
bin11101111000001011110011…
…111011110111010110001001
3122020021010112010121222001211
4131320023303323313112021
5114210412022413314010
61143250151232213121
736451435411636315
oct3570136373672611
9566233463558054
10131404322010505
1138962295086a25
12128a305569a1a1
1358424b3716b0b
1424640087c0b45
15102d1dbd8908a
hex7782f3ef7589

131404322010505 has 8 divisors (see below), whose sum is σ = 157918103974152. Its totient is φ = 104968179234048.

The previous prime is 131404322010443. The next prime is 131404322010509. The reversal of 131404322010505 is 505010223404131.

It can be written as a sum of positive squares in 4 ways, for example, as 90227562394761 + 41176759615744 = 9498819^2 + 6416912^2 .

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 131404322010505 - 29 = 131404322009993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131404322010509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19409793072 + ... + 19409799841.

It is an arithmetic number, because the mean of its divisors is an integer number (19739762996769).

Almost surely, 2131404322010505 is an apocalyptic number.

It is an amenable number.

131404322010505 is a deficient number, since it is larger than the sum of its proper divisors (26513781963647).

131404322010505 is an equidigital number, since it uses as much as digits as its factorization.

131404322010505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38819593595.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 131404322010505 its reverse (505010223404131), we get a palindrome (636414545414636).

The spelling of 131404322010505 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred twenty-two million, ten thousand, five hundred five".

Divisors: 1 5 677 3385 38819592913 194097964565 26280864402101 131404322010505