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114011122241 is a prime number
BaseRepresentation
bin110101000101110010…
…1111010101001000001
3101220021122001002200002
41222023211322221001
53331443321402431
6124213114005345
711144205356252
oct1521345725101
9356248032602
10114011122241
1144396340675
121a11a116855
13a99c513c13
145737bd0b29
152e743183cb
hex1a8b97aa41

114011122241 has 2 divisors, whose sum is σ = 114011122242. Its totient is φ = 114011122240.

The previous prime is 114011122171. The next prime is 114011122259. The reversal of 114011122241 is 142221110411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95243218225 + 18767904016 = 308615^2 + 136996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114011122241 is a prime.

It is not a weakly prime, because it can be changed into another prime (114011122541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57005561120 + 57005561121.

It is an arithmetic number, because the mean of its divisors is an integer number (57005561121).

Almost surely, 2114011122241 is an apocalyptic number.

It is an amenable number.

114011122241 is a deficient number, since it is larger than the sum of its proper divisors (1).

114011122241 is an equidigital number, since it uses as much as digits as its factorization.

114011122241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 114011122241 its reverse (142221110411), we get a palindrome (256232232652).

The spelling of 114011122241 in words is "one hundred fourteen billion, eleven million, one hundred twenty-two thousand, two hundred forty-one".