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2211114041 is a prime number
BaseRepresentation
bin1000001111001010…
…1110110000111001
312201002121020020122
42003302232300321
514012021122131
61003223503025
7105536105423
oct20362566071
95632536218
102211114041
11a35130784
125185b7a75
13293123306
1416d931813
15ce1b4d7b
hex83caec39

2211114041 has 2 divisors, whose sum is σ = 2211114042. Its totient is φ = 2211114040.

The previous prime is 2211114001. The next prime is 2211114047. The reversal of 2211114041 is 1404111122.

2211114041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333710400 + 877403641 = 36520^2 + 29621^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211114041 - 210 = 2211113017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211114047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105557020 + 1105557021.

It is an arithmetic number, because the mean of its divisors is an integer number (1105557021).

Almost surely, 22211114041 is an apocalyptic number.

It is an amenable number.

2211114041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211114041 is an equidigital number, since it uses as much as digits as its factorization.

2211114041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2211114041 is about 47022.4844196901. The cubic root of 2211114041 is about 1302.7778943679. Note that the first 3 decimals are identical.

Adding to 2211114041 its reverse (1404111122), we get a palindrome (3615225163).

The spelling of 2211114041 in words is "two billion, two hundred eleven million, one hundred fourteen thousand, forty-one".