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186861422201 is a prime number
BaseRepresentation
bin1010111000000111001…
…1110000011001111001
3122212022200201210000212
42232001303300121321
511030143011002301
6221502024440505
716333412611316
oct2560163603171
9585280653025
10186861422201
117227a446243
123026b619135
131480c31a59c
1490891a1d0d
154cd9c9c4bb
hex2b81cf0679

186861422201 has 2 divisors, whose sum is σ = 186861422202. Its totient is φ = 186861422200.

The previous prime is 186861422173. The next prime is 186861422257. The reversal of 186861422201 is 102224168681.

186861422201 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., 114395474176 + 72465948025 = 338224^2 + 269195^2 .

It is a cyclic number.

It is not a de Polignac number, because 186861422201 - 210 = 186861421177 is a prime.

It is a super-2 number, since 2×1868614222012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (186861422291) 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, 93430711100 + 93430711101.

It is an arithmetic number, because the mean of its divisors is an integer number (93430711101).

Almost surely, 2186861422201 is an apocalyptic number.

It is an amenable number.

186861422201 is a deficient number, since it is larger than the sum of its proper divisors (1).

186861422201 is an equidigital number, since it uses as much as digits as its factorization.

186861422201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 186861422201 in words is "one hundred eighty-six billion, eight hundred sixty-one million, four hundred twenty-two thousand, two hundred one".