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111111000041 is a prime number
BaseRepresentation
bin110011101111010111…
…0110100111111101001
3101121210111221121220202
41213132232310333221
53310023404000131
6123013234201545
711012301626426
oct1473656647751
9347714847822
10111111000041
1143138298968
121964aa232b5
13a62972c692
145540986d4d
152d54902bcb
hex19debb4fe9

111111000041 has 2 divisors, whose sum is σ = 111111000042. Its totient is φ = 111111000040.

The previous prime is 111110999999. The next prime is 111111000061. The reversal of 111111000041 is 140000111111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97201156441 + 13909843600 = 311771^2 + 117940^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111000041 - 214 = 111110983657 is a prime.

It is a super-2 number, since 2×1111110000412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111110999986 and 111111000031.

It is not a weakly prime, because it can be changed into another prime (111111000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555500020 + 55555500021.

It is an arithmetic number, because the mean of its divisors is an integer number (55555500021).

Almost surely, 2111111000041 is an apocalyptic number.

It is an amenable number.

111111000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111000041 is an equidigital number, since it uses as much as digits as its factorization.

111111000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111111000041 its reverse (140000111111), we get a palindrome (251111111152).

The spelling of 111111000041 in words is "one hundred eleven billion, one hundred eleven million, forty-one", and thus it is an aban number.