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131279488337 is a prime number
BaseRepresentation
bin111101001000011011…
…1100000010101010001
3110112212002111222122202
41322100313200111101
54122330022111322
6140150423012545
712325141145024
oct1722067402521
9415762458582
10131279488337
1150747937708
122153929a155
13c4c1caa51a
1464d53ab1bb
153635351292
hex1e90de0551

131279488337 has 2 divisors, whose sum is σ = 131279488338. Its totient is φ = 131279488336.

The previous prime is 131279488313. The next prime is 131279488349. The reversal of 131279488337 is 733884972131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129957366016 + 1322122321 = 360496^2 + 36361^2 .

It is a cyclic number.

It is not a de Polignac number, because 131279488337 - 218 = 131279226193 is a prime.

It is not a weakly prime, because it can be changed into another prime (131279488237) 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 as a sum of consecutive naturals, namely, 65639744168 + 65639744169.

It is an arithmetic number, because the mean of its divisors is an integer number (65639744169).

Almost surely, 2131279488337 is an apocalyptic number.

It is an amenable number.

131279488337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131279488337 is an equidigital number, since it uses as much as digits as its factorization.

131279488337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6096384, while the sum is 56.

The spelling of 131279488337 in words is "one hundred thirty-one billion, two hundred seventy-nine million, four hundred eighty-eight thousand, three hundred thirty-seven".