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1836382000181 is a prime number
BaseRepresentation
bin11010101110010000111…
…001011001010000110101
320111120000121201021020212
4122232100321121100311
5220041402243001211
63523342223235205
7246450154311311
oct32562071312065
96446017637225
101836382000181
11648894845933
12257aa0748b05
13104229884771
1464c4a662b41
1532b7dac538b
hex1ab90e59435

1836382000181 has 2 divisors, whose sum is σ = 1836382000182. Its totient is φ = 1836382000180.

The previous prime is 1836382000171. The next prime is 1836382000223. The reversal of 1836382000181 is 1810002836381.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1564037878225 + 272344121956 = 1250615^2 + 521866^2 .

It is a cyclic number.

It is not a de Polignac number, because 1836382000181 - 234 = 1819202130997 is a prime.

It is a super-2 number, since 2×18363820001812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1836382000171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 918191000090 + 918191000091.

It is an arithmetic number, because the mean of its divisors is an integer number (918191000091).

Almost surely, 21836382000181 is an apocalyptic number.

It is an amenable number.

1836382000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1836382000181 is an equidigital number, since it uses as much as digits as its factorization.

1836382000181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 1836382000181 in words is "one trillion, eight hundred thirty-six billion, three hundred eighty-two million, one hundred eighty-one", and thus it is an aban number.