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114224102441 is a prime number
BaseRepresentation
bin110101001100001001…
…0010111110000101001
3101220211110210121120122
41222120102113300221
53332412332234231
6124250202533025
711152402564631
oct1523022276051
9356743717518
10114224102441
1144495589869
121a179507175
13aa046943c7
1457581d16c1
152e87d8877b
hex1a98497c29

114224102441 has 2 divisors, whose sum is σ = 114224102442. Its totient is φ = 114224102440.

The previous prime is 114224102357. The next prime is 114224102497. The reversal of 114224102441 is 144201422411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95394499600 + 18829602841 = 308860^2 + 137221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114224102441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114224102441.

It is not a weakly prime, because it can be changed into another prime (114224102341) 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, 57112051220 + 57112051221.

It is an arithmetic number, because the mean of its divisors is an integer number (57112051221).

Almost surely, 2114224102441 is an apocalyptic number.

It is an amenable number.

114224102441 is a deficient number, since it is larger than the sum of its proper divisors (1).

114224102441 is an equidigital number, since it uses as much as digits as its factorization.

114224102441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 114224102441 its reverse (144201422411), we get a palindrome (258425524852).

The spelling of 114224102441 in words is "one hundred fourteen billion, two hundred twenty-four million, one hundred two thousand, four hundred forty-one".