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114111213113281 is a prime number
BaseRepresentation
bin11001111100100010010110…
…010100101000111111000001
3112222000220222122022222222211
4121330202112110220333001
5104424044231024111111
61042405545000502121
733015156144425566
oct3174422624507701
9488026878288884
10114111213113281
11333a5325a2492a
121096b62647a941
134b898449ccba7
14202702560886d
15d2d464041521
hex67c896528fc1

114111213113281 has 2 divisors, whose sum is σ = 114111213113282. Its totient is φ = 114111213113280.

The previous prime is 114111213113279. The next prime is 114111213113323. The reversal of 114111213113281 is 182311312111411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105855475154881 + 8255737958400 = 10288609^2 + 2873280^2 .

It is a cyclic number.

It is not a de Polignac number, because 114111213113281 - 21 = 114111213113279 is a prime.

It is a super-2 number, since 2×1141112131132812 (a number of 29 digits) contains 22 as substring.

Together with 114111213113279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (114111213113581) 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, 57055606556640 + 57055606556641.

It is an arithmetic number, because the mean of its divisors is an integer number (57055606556641).

Almost surely, 2114111213113281 is an apocalyptic number.

It is an amenable number.

114111213113281 is a deficient number, since it is larger than the sum of its proper divisors (1).

114111213113281 is an equidigital number, since it uses as much as digits as its factorization.

114111213113281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 31.

Adding to 114111213113281 its reverse (182311312111411), we get a palindrome (296422525224692).

The spelling of 114111213113281 in words is "one hundred fourteen trillion, one hundred eleven billion, two hundred thirteen million, one hundred thirteen thousand, two hundred eighty-one".