Search a number
-
+
312795107509109 is a prime number
BaseRepresentation
bin100011100011111000100100…
…1010001010100001101110101
31112000111220211212002010211212
41013013301021101110031311
5311444313340010242414
63025132031051411205
7122612462234015561
oct10707611121241565
91460456755063755
10312795107509109
1190736729701215
122b0b9954753b05
131056c5b5284b34
145735514aa26a1
1526267ba2a483e
hex11c7c49454375

312795107509109 has 2 divisors, whose sum is σ = 312795107509110. Its totient is φ = 312795107509108.

The previous prime is 312795107509097. The next prime is 312795107509289. The reversal of 312795107509109 is 901905701597213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262274073434884 + 50521034074225 = 16194878^2 + 7107815^2 .

It is a cyclic number.

It is not a de Polignac number, because 312795107509109 - 28 = 312795107508853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312795109509109) 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, 156397553754554 + 156397553754555.

It is an arithmetic number, because the mean of its divisors is an integer number (156397553754555).

Almost surely, 2312795107509109 is an apocalyptic number.

It is an amenable number.

312795107509109 is a deficient number, since it is larger than the sum of its proper divisors (1).

312795107509109 is an equidigital number, since it uses as much as digits as its factorization.

312795107509109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5358150, while the sum is 59.

The spelling of 312795107509109 in words is "three hundred twelve trillion, seven hundred ninety-five billion, one hundred seven million, five hundred nine thousand, one hundred nine".