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131231649141 = 3217857723197
BaseRepresentation
bin111101000111000000…
…1000000110101110101
3110112201202111111121200
41322032001000311311
54122230300233031
6140141553403113
712324020420115
oct1721601006565
9415652444550
10131231649141
115072293238a
1221525269499
13c4b50ca7c8
1464cccb7045
1536310518e6
hex1e8e040d75

131231649141 has 12 divisors (see below), whose sum is σ = 200707228332. Its totient is φ = 82341426816.

The previous prime is 131231649139. The next prime is 131231649169. The reversal of 131231649141 is 141946132131.

It is a happy number.

131231649141 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 1 + 649 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117878922225 + 13352726916 = 343335^2 + 115554^2 .

It is not a de Polignac number, because 131231649141 - 21 = 131231649139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131231649096 and 131231649105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231649191) 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 11 ways as a sum of consecutive naturals, for example, 428861446 + ... + 428861751.

It is an arithmetic number, because the mean of its divisors is an integer number (16725602361).

Almost surely, 2131231649141 is an apocalyptic number.

It is an amenable number.

131231649141 is a deficient number, since it is larger than the sum of its proper divisors (69475579191).

131231649141 is a wasteful number, since it uses less digits than its factorization.

131231649141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857723220 (or 857723217 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 131231649141 in words is "one hundred thirty-one billion, two hundred thirty-one million, six hundred forty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 857723197 2573169591 7719508773 14581294349 43743883047 131231649141