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114414220241 is a prime number
BaseRepresentation
bin110101010001110011…
…1100111001111010001
3101221022201112121011122
41222203213213033101
53333310020021431
6124321113452025
711160201553136
oct1524347471721
9357281477148
10114414220241
1144582932112
121a211111015
13aa34b9b649
14577556058d
152e998dea7b
hex1aa39e73d1

114414220241 has 2 divisors, whose sum is σ = 114414220242. Its totient is φ = 114414220240.

The previous prime is 114414220229. The next prime is 114414220279. The reversal of 114414220241 is 142022414411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88812940225 + 25601280016 = 298015^2 + 160004^2 .

It is an emirp because it is prime and its reverse (142022414411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114414220241 - 230 = 113340478417 is a prime.

It is a super-2 number, since 2×1144142202412 (a number of 23 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 114414220241.

It is not a weakly prime, because it can be changed into another prime (114414220201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57207110120 + 57207110121.

It is an arithmetic number, because the mean of its divisors is an integer number (57207110121).

Almost surely, 2114414220241 is an apocalyptic number.

It is an amenable number.

114414220241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114414220241 is an equidigital number, since it uses as much as digits as its factorization.

114414220241 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 114414220241 its reverse (142022414411), we get a palindrome (256436634652).

The spelling of 114414220241 in words is "one hundred fourteen billion, four hundred fourteen million, two hundred twenty thousand, two hundred forty-one".