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105316113341 is a prime number
BaseRepresentation
bin110001000010101010…
…1000101101110111101
3101001211122211212210102
41202011111011232331
53211141411111331
6120214225450445
710415555123135
oct1420525055675
9331748755712
10105316113341
11407342227aa
12184b21a0a25
139c14cbb43a
1451510cbac5
152b15cd44cb
hex1885545bbd

105316113341 has 2 divisors, whose sum is σ = 105316113342. Its totient is φ = 105316113340.

The previous prime is 105316113337. The next prime is 105316113421. The reversal of 105316113341 is 143311613501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73067496100 + 32248617241 = 270310^2 + 179579^2 .

It is a cyclic number.

It is not a de Polignac number, because 105316113341 - 22 = 105316113337 is a prime.

It is a super-2 number, since 2×1053161133412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105316113241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52658056670 + 52658056671.

It is an arithmetic number, because the mean of its divisors is an integer number (52658056671).

Almost surely, 2105316113341 is an apocalyptic number.

It is an amenable number.

105316113341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105316113341 is an equidigital number, since it uses as much as digits as its factorization.

105316113341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 105316113341 its reverse (143311613501), we get a palindrome (248627726842).

The spelling of 105316113341 in words is "one hundred five billion, three hundred sixteen million, one hundred thirteen thousand, three hundred forty-one".