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10035289541 is a prime number
BaseRepresentation
bin10010101100010011…
…00101110111000101
3221220101011112021102
421112021211313011
5131023013231131
64335443025445
7503453360624
oct112611456705
927811145242
1010035289541
11428a728622
121b4096b285
13c3c0c4c64
146b2b0b6bb
153db02e1cb
hex256265dc5

10035289541 has 2 divisors, whose sum is σ = 10035289542. Its totient is φ = 10035289540.

The previous prime is 10035289531. The next prime is 10035289637. The reversal of 10035289541 is 14598253001.

It is a happy number.

10035289541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9380697316 + 654592225 = 96854^2 + 25585^2 .

It is an emirp because it is prime and its reverse (14598253001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10035289541 - 222 = 10031095237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10035289495 and 10035289504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10035289531) 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, 5017644770 + 5017644771.

It is an arithmetic number, because the mean of its divisors is an integer number (5017644771).

Almost surely, 210035289541 is an apocalyptic number.

It is an amenable number.

10035289541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035289541 is an equidigital number, since it uses as much as digits as its factorization.

10035289541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 10035289541 in words is "ten billion, thirty-five million, two hundred eighty-nine thousand, five hundred forty-one".