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120334131017 is a prime number
BaseRepresentation
bin111000000010001111…
…0010001111101001001
3102111121021220020002022
41300010132101331021
53432421014143032
6131140350014225
711456664144212
oct1600436217511
9374537806068
10120334131017
1147040530761
121b3a37a7375
13b4694a5529
145b77882409
1531e44a7512
hex1c04791f49

120334131017 has 2 divisors, whose sum is σ = 120334131018. Its totient is φ = 120334131016.

The previous prime is 120334130999. The next prime is 120334131019. The reversal of 120334131017 is 710131433021.

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., 107460051721 + 12874079296 = 327811^2 + 113464^2 .

It is a cyclic number.

It is not a de Polignac number, because 120334131017 - 212 = 120334126921 is a prime.

It is a super-3 number, since 3×1203341310173 (a number of 34 digits) contains 333 as substring.

Together with 120334131019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (120334131019) 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, 60167065508 + 60167065509.

It is an arithmetic number, because the mean of its divisors is an integer number (60167065509).

Almost surely, 2120334131017 is an apocalyptic number.

It is an amenable number.

120334131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

120334131017 is an equidigital number, since it uses as much as digits as its factorization.

120334131017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 120334131017 its reverse (710131433021), we get a palindrome (830465564038).

The spelling of 120334131017 in words is "one hundred twenty billion, three hundred thirty-four million, one hundred thirty-one thousand, seventeen".