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131240411305 = 531227313301
BaseRepresentation
bin111101000111010001…
…0011100000010101001
3110112202100222200001021
41322032202130002221
54122240021130210
6140142505252441
712324155042563
oct1721642340251
9415670880037
10131240411305
1150727877543
1221528194121
13c4b6b77b13
1464d0118333
153631bd2bda
hex1e8e89c0a9

131240411305 has 12 divisors (see below), whose sum is σ = 162732653316. Its totient is φ = 101605476000.

The previous prime is 131240411299. The next prime is 131240411317. The reversal of 131240411305 is 503114042131.

It can be written as a sum of positive squares in 2 ways, for example, as 26015431849 + 105224979456 = 161293^2 + 324384^2 .

It is not a de Polignac number, because 131240411305 - 27 = 131240411177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131240411305.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13651846 + ... + 13661455.

It is an arithmetic number, because the mean of its divisors is an integer number (13561054443).

Almost surely, 2131240411305 is an apocalyptic number.

It is an amenable number.

131240411305 is a deficient number, since it is larger than the sum of its proper divisors (31492242011).

131240411305 is an equidigital number, since it uses as much as digits as its factorization.

131240411305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313368 (or 27313337 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 131240411305 its reverse (503114042131), we get a palindrome (634354453436).

The spelling of 131240411305 in words is "one hundred thirty-one billion, two hundred forty million, four hundred eleven thousand, three hundred five".

Divisors: 1 5 31 155 961 4805 27313301 136566505 846712331 4233561655 26248082261 131240411305