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314111240081 is a prime number
BaseRepresentation
bin1001001001000100111…
…11010010011110010001
31010000202221201022000122
410210202133102132101
520121244434140311
6400144542000025
731456653326102
oct4444237223621
91100687638018
10314111240081
11111239673891
1250a63276015
132380b4b8402
14112bb2d43a9
1582864670db
hex49227d2791

314111240081 has 2 divisors, whose sum is σ = 314111240082. Its totient is φ = 314111240080.

The previous prime is 314111240041. The next prime is 314111240129. The reversal of 314111240081 is 180042111413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283945108225 + 30166131856 = 532865^2 + 173684^2 .

It is an emirp because it is prime and its reverse (180042111413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314111240081 - 218 = 314110977937 is a prime.

It is a super-2 number, since 2×3141112400812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314111240081.

It is not a weakly prime, because it can be changed into another prime (314111240011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157055620040 + 157055620041.

It is an arithmetic number, because the mean of its divisors is an integer number (157055620041).

Almost surely, 2314111240081 is an apocalyptic number.

It is an amenable number.

314111240081 is a deficient number, since it is larger than the sum of its proper divisors (1).

314111240081 is an equidigital number, since it uses as much as digits as its factorization.

314111240081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 314111240081 its reverse (180042111413), we get a palindrome (494153351494).

The spelling of 314111240081 in words is "three hundred fourteen billion, one hundred eleven million, two hundred forty thousand, eighty-one".