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11111125041 = 3214942119681
BaseRepresentation
bin10100101100100011…
…00101000000110001
31001200100112122010200
422112101211000301
5140223422000131
65034313545413
7542226001362
oct122621450061
931610478120
1011111125041
114791a38775
1221a1115269
131080c64b03
14775959b69
154506e02e6
hex296465031

11111125041 has 24 divisors (see below), whose sum is σ = 16196317800. Its totient is φ = 7339852800.

The previous prime is 11111125037. The next prime is 11111125093. The reversal of 11111125041 is 14052111111.

It can be written as a sum of positive squares in 4 ways, for example, as 231800625 + 10879324416 = 15225^2 + 104304^2 .

It is not a de Polignac number, because 11111125041 - 22 = 11111125037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11111125021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554721 + ... + 574401.

It is an arithmetic number, because the mean of its divisors is an integer number (674846575).

Almost surely, 211111125041 is an apocalyptic number.

It is an amenable number.

11111125041 is a deficient number, since it is larger than the sum of its proper divisors (5085192759).

11111125041 is a wasteful number, since it uses less digits than its factorization.

11111125041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 11111125041 its reverse (14052111111), we get a palindrome (25163236152).

The spelling of 11111125041 in words is "eleven billion, one hundred eleven million, one hundred twenty-five thousand, forty-one".

Divisors: 1 3 9 149 421 447 1263 1341 3789 19681 59043 62729 177129 188187 564561 2932469 8285701 8797407 24857103 26392221 74571309 1234569449 3703708347 11111125041