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2187221827361 is a prime number
BaseRepresentation
bin11111110101000000100…
…101000111111100100001
321202002121020202002221012
4133311000211013330201
5241313412241433421
64352443522310305
7314010252531314
oct37650045077441
97662536662835
102187221827361
1177366077882a
122b3a941b8395
1312b33c43bc3c
1477c0d86a97b
153bd6471b95b
hex1fd40947f21

2187221827361 has 2 divisors, whose sum is σ = 2187221827362. Its totient is φ = 2187221827360.

The previous prime is 2187221827333. The next prime is 2187221827363. The reversal of 2187221827361 is 1637281227812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2021995836961 + 165225990400 = 1421969^2 + 406480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2187221827361 is a prime.

It is a Sophie Germain prime.

Together with 2187221827363, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2187221827363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1093610913680 + 1093610913681.

It is an arithmetic number, because the mean of its divisors is an integer number (1093610913681).

Almost surely, 22187221827361 is an apocalyptic number.

It is an amenable number.

2187221827361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2187221827361 is an equidigital number, since it uses as much as digits as its factorization.

2187221827361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 903168, while the sum is 50.

The spelling of 2187221827361 in words is "two trillion, one hundred eighty-seven billion, two hundred twenty-one million, eight hundred twenty-seven thousand, three hundred sixty-one".