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11023443040041 = 321516180788009
BaseRepresentation
bin1010000001101001100001…
…1010000001011100101001
31110000211102200212111120200
42200122120122001130221
52421102002404240131
635240033321142413
72215263123553665
oct240323032013451
943024380774520
1011023443040041
11357001a240973
1212a050092aa09
1361c677213c93
142a1774c2d8a5
15141b298302e6
hexa0698681729

11023443040041 has 12 divisors (see below), whose sum is σ = 15923801499060. Its totient is φ = 7348477207680.

The previous prime is 11023443040037. The next prime is 11023443040061. The reversal of 11023443040041 is 14004034432011.

11023443040041 is a `hidden beast` number, since 1 + 10 + 2 + 344 + 304 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8925580480041 + 2097862560000 = 2987571^2 + 1448400^2 .

It is not a de Polignac number, because 11023443040041 - 22 = 11023443040037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11023443039987 and 11023443040014.

It is not an unprimeable number, because it can be changed into a prime (11023443040061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40257556 + ... + 40530453.

It is an arithmetic number, because the mean of its divisors is an integer number (1326983458255).

Almost surely, 211023443040041 is an apocalyptic number.

It is an amenable number.

11023443040041 is a deficient number, since it is larger than the sum of its proper divisors (4900358459019).

11023443040041 is a wasteful number, since it uses less digits than its factorization.

11023443040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80803176 (or 80803173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11023443040041 its reverse (14004034432011), we get a palindrome (25027477472052).

The spelling of 11023443040041 in words is "eleven trillion, twenty-three billion, four hundred forty-three million, forty thousand, forty-one".

Divisors: 1 3 9 15161 45483 136449 80788009 242364027 727092081 1224827004449 3674481013347 11023443040041