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18224386302541 is a prime number
BaseRepresentation
bin1000010010011001100100…
…00100100110001001001101
32101112020022211000212100111
410021030302010212021031
54342042020343140131
6102432100102200021
73560445165433516
oct411146204461115
971466284025314
1018224386302541
115896a11a604a1
122064012123011
13a227243c1963
144700ca525a0d
152190d11c8ab1
hex10933212624d

18224386302541 has 2 divisors, whose sum is σ = 18224386302542. Its totient is φ = 18224386302540.

The previous prime is 18224386302539. The next prime is 18224386302601. The reversal of 18224386302541 is 14520368342281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14172559505316 + 4051826797225 = 3764646^2 + 2012915^2 .

It is an emirp because it is prime and its reverse (14520368342281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18224386302541 - 21 = 18224386302539 is a prime.

It is a super-2 number, since 2×182243863025412 (a number of 27 digits) contains 22 as substring.

Together with 18224386302539, 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 (18224386306541) 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, 9112193151270 + 9112193151271.

It is an arithmetic number, because the mean of its divisors is an integer number (9112193151271).

Almost surely, 218224386302541 is an apocalyptic number.

It is an amenable number.

18224386302541 is a deficient number, since it is larger than the sum of its proper divisors (1).

18224386302541 is an equidigital number, since it uses as much as digits as its factorization.

18224386302541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 18224386302541 in words is "eighteen trillion, two hundred twenty-four billion, three hundred eighty-six million, three hundred two thousand, five hundred forty-one".