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313242034400041 is a prime number
BaseRepresentation
bin100011100111001000101100…
…0001100000110101100101001
31112002002122102221212120100011
41013032101120030012230221
5312024124141301300131
63030113223134011521
7122656663423633645
oct10716213014065451
91462078387776304
10313242034400041
11908992232412aa
122b1704a3646ba1
13105a279ba91956
14574cdd139bc25
15263322685c0b1
hex11ce458306b29

313242034400041 has 2 divisors, whose sum is σ = 313242034400042. Its totient is φ = 313242034400040.

The previous prime is 313242034399999. The next prime is 313242034400077. The reversal of 313242034400041 is 140004430242313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282211608714025 + 31030425686016 = 16799155^2 + 5570496^2 .

It is a cyclic number.

It is not a de Polignac number, because 313242034400041 - 219 = 313242033875753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313242034399976 and 313242034400012.

It is not a weakly prime, because it can be changed into another prime (313242034403041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156621017200020 + 156621017200021.

It is an arithmetic number, because the mean of its divisors is an integer number (156621017200021).

Almost surely, 2313242034400041 is an apocalyptic number.

It is an amenable number.

313242034400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

313242034400041 is an equidigital number, since it uses as much as digits as its factorization.

313242034400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 313242034400041 its reverse (140004430242313), we get a palindrome (453246464642354).

The spelling of 313242034400041 in words is "three hundred thirteen trillion, two hundred forty-two billion, thirty-four million, four hundred thousand, forty-one".