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10543632041 is a prime number
BaseRepresentation
bin10011101000111001…
…10000111010101001
31000012210201000002102
421310130300322221
5133043132211131
64502122343145
7522165252005
oct116434607251
930183630072
1010543632041
114520672898
12206305aab5
13cc050b337
14720435705
1541a9941cb
hex274730ea9

10543632041 has 2 divisors, whose sum is σ = 10543632042. Its totient is φ = 10543632040.

The previous prime is 10543632023. The next prime is 10543632049. The reversal of 10543632041 is 14023634501.

10543632041 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., 9143375641 + 1400256400 = 95621^2 + 37420^2 .

It is an emirp because it is prime and its reverse (14023634501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10543632041 is a prime.

It is a super-4 number, since 4×105436320414 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10543631995 and 10543632013.

It is not a weakly prime, because it can be changed into another prime (10543632049) 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 as a sum of consecutive naturals, namely, 5271816020 + 5271816021.

It is an arithmetic number, because the mean of its divisors is an integer number (5271816021).

Almost surely, 210543632041 is an apocalyptic number.

It is an amenable number.

10543632041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10543632041 is an equidigital number, since it uses as much as digits as its factorization.

10543632041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 10543632041 in words is "ten billion, five hundred forty-three million, six hundred thirty-two thousand, forty-one".