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131783254637729 is a prime number
BaseRepresentation
bin11101111101101100101110…
…000101000111110010100001
3122021121100121121012220121212
4131331230232011013302201
5114233114101141401404
61144140220313355505
736521011621060412
oct3575545605076241
9567540547186555
10131783254637729
1138a98a6772a342
1212944589408b95
13586c1524b15b6
1424784b4a13809
151037eb8e7806e
hex77db2e147ca1

131783254637729 has 2 divisors, whose sum is σ = 131783254637730. Its totient is φ = 131783254637728.

The previous prime is 131783254637707. The next prime is 131783254637777. The reversal of 131783254637729 is 927736452387131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77871712005025 + 53911542632704 = 8824495^2 + 7342448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131783254637729 is a prime.

It is not a weakly prime, because it can be changed into another prime (131783254627729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65891627318864 + 65891627318865.

It is an arithmetic number, because the mean of its divisors is an integer number (65891627318865).

Almost surely, 2131783254637729 is an apocalyptic number.

It is an amenable number.

131783254637729 is a deficient number, since it is larger than the sum of its proper divisors (1).

131783254637729 is an equidigital number, since it uses as much as digits as its factorization.

131783254637729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 320060160, while the sum is 68.

The spelling of 131783254637729 in words is "one hundred thirty-one trillion, seven hundred eighty-three billion, two hundred fifty-four million, six hundred thirty-seven thousand, seven hundred twenty-nine".