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27801071117 is a prime number
BaseRepresentation
bin11001111001000100…
…101010111000001101
32122202111121202000122
4121321010222320031
5423414033233432
620434401234325
72002636130321
oct317104527015
978674552018
1027801071117
1110876a86236
12547a6329a5
13281094a151
1414ba3a9981
15acaa6e612
hex67912ae0d

27801071117 has 2 divisors, whose sum is σ = 27801071118. Its totient is φ = 27801071116.

The previous prime is 27801071087. The next prime is 27801071153. The reversal of 27801071117 is 71117010872.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27335331556 + 465739561 = 165334^2 + 21581^2 .

It is a cyclic number.

It is not a de Polignac number, because 27801071117 - 220 = 27800022541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27801071167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13900535558 + 13900535559.

It is an arithmetic number, because the mean of its divisors is an integer number (13900535559).

Almost surely, 227801071117 is an apocalyptic number.

It is an amenable number.

27801071117 is a deficient number, since it is larger than the sum of its proper divisors (1).

27801071117 is an equidigital number, since it uses as much as digits as its factorization.

27801071117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5488, while the sum is 35.

Adding to 27801071117 its reverse (71117010872), we get a palindrome (98918081989).

The spelling of 27801071117 in words is "twenty-seven billion, eight hundred one million, seventy-one thousand, one hundred seventeen".