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10524144541 is a prime number
BaseRepresentation
bin10011100110100100…
…11011001110011101
31000011110000221021011
421303102123032131
5133023140111131
64500144535221
7521540516101
oct116322331635
930143027234
1010524144541
114510672619
122058621511
13cb9477281
1471ba01901
15418de50b1
hex27349b39d

10524144541 has 2 divisors, whose sum is σ = 10524144542. Its totient is φ = 10524144540.

The previous prime is 10524144539. The next prime is 10524144611. The reversal of 10524144541 is 14544142501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10050864516 + 473280025 = 100254^2 + 21755^2 .

It is a cyclic number.

It is not a de Polignac number, because 10524144541 - 21 = 10524144539 is a prime.

It is a super-2 number, since 2×105241445412 (a number of 21 digits) contains 22 as substring.

Together with 10524144539, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10524144041) 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 as a sum of consecutive naturals, namely, 5262072270 + 5262072271.

It is an arithmetic number, because the mean of its divisors is an integer number (5262072271).

Almost surely, 210524144541 is an apocalyptic number.

It is an amenable number.

10524144541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10524144541 is an equidigital number, since it uses as much as digits as its factorization.

10524144541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 10524144541 in words is "ten billion, five hundred twenty-four million, one hundred forty-four thousand, five hundred forty-one".