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1011240440041 = 131447413313007
BaseRepresentation
bin11101011011100101010…
…00001001000011101001
310120200012002021221110011
432231302220021003221
5113032010023040131
62052320224051521
7133026323626156
oct16556250110351
93520162257404
101011240440041
1135a956957967
12143b9a463ba1
1374489c693b0
1436d3122522d
151b48849c0b1
hexeb72a090e9

1011240440041 has 16 divisors (see below), whose sum is σ = 1090128259584. Its totient is φ = 932510222784.

The previous prime is 1011240440033. The next prime is 1011240440101. The reversal of 1011240440041 is 1400440421101.

It is a cyclic number.

It is not a de Polignac number, because 1011240440041 - 23 = 1011240440033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011240439994 and 1011240440021.

It is not an unprimeable number, because it can be changed into a prime (1011240440941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77739360 + ... + 77752366.

It is an arithmetic number, because the mean of its divisors is an integer number (68133016224).

Almost surely, 21011240440041 is an apocalyptic number.

It is an amenable number.

1011240440041 is a deficient number, since it is larger than the sum of its proper divisors (78887819543).

1011240440041 is a wasteful number, since it uses less digits than its factorization.

1011240440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18600.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1011240440041 its reverse (1400440421101), we get a palindrome (2411680861142).

The spelling of 1011240440041 in words is "one trillion, eleven billion, two hundred forty million, four hundred forty thousand, forty-one".

Divisors: 1 13 1447 4133 13007 18811 53729 169091 5980451 18821129 53757931 77745863 244674677 698853103 77787726157 1011240440041