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312042440117 is a prime number
BaseRepresentation
bin1001000101001110010…
…11011100010110110101
31002211102202220100222202
410202213023130112311
520103030331040432
6355203400234245
731354462656242
oct4424713342665
91084382810882
10312042440117
11110377905851
125058646b985
132356ba02815
141116264a5c9
1581b4a14462
hex48a72dc5b5

312042440117 has 2 divisors, whose sum is σ = 312042440118. Its totient is φ = 312042440116.

The previous prime is 312042440107. The next prime is 312042440159. The reversal of 312042440117 is 711044240213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311999327761 + 43112356 = 558569^2 + 6566^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312042440117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312042440117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312042440107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156021220058 + 156021220059.

It is an arithmetic number, because the mean of its divisors is an integer number (156021220059).

Almost surely, 2312042440117 is an apocalyptic number.

It is an amenable number.

312042440117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312042440117 is an equidigital number, since it uses as much as digits as its factorization.

312042440117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 312042440117 in words is "three hundred twelve billion, forty-two million, four hundred forty thousand, one hundred seventeen".