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312141404032279 is a prime number
BaseRepresentation
bin100011011111001000001010…
…1100000011100110100010111
31111221012102112010122210121021
41012332100111200130310113
5311403111043413013104
63023511440441302011
7122514320656110343
oct10676202540346427
91457172463583537
10312141404032279
1190504476080718
122b013118794907
1310522a67517603
145711a202c4623
1526147aa890754
hex11be41581cd17

312141404032279 has 2 divisors, whose sum is σ = 312141404032280. Its totient is φ = 312141404032278.

The previous prime is 312141404032217. The next prime is 312141404032313. The reversal of 312141404032279 is 972230404141213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312141404032279 - 211 = 312141404030231 is a prime.

It is a super-2 number, since 2×3121414040322792 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141404030279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070702016139 + 156070702016140.

It is an arithmetic number, because the mean of its divisors is an integer number (156070702016140).

Almost surely, 2312141404032279 is an apocalyptic number.

312141404032279 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141404032279 is an equidigital number, since it uses as much as digits as its factorization.

312141404032279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 312141404032279 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, thirty-two thousand, two hundred seventy-nine".