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218081137 is a prime number
BaseRepresentation
bin11001111111110…
…10011101110001
3120012100200002011
430333322131301
5421312044022
633350122521
75255442031
oct1477723561
9505320064
10218081137
1110211264a
1261050441
13362481c1
1420d6b8c1
151422b977
hexcffa771

218081137 has 2 divisors, whose sum is σ = 218081138. Its totient is φ = 218081136.

The previous prime is 218081113. The next prime is 218081153. The reversal of 218081137 is 731180812.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138086001 + 79995136 = 11751^2 + 8944^2 .

It is a cyclic number.

It is not a de Polignac number, because 218081137 - 211 = 218079089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218081099 and 218081108.

It is not a weakly prime, because it can be changed into another prime (218081177) 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, 109040568 + 109040569.

It is an arithmetic number, because the mean of its divisors is an integer number (109040569).

Almost surely, 2218081137 is an apocalyptic number.

It is an amenable number.

218081137 is a deficient number, since it is larger than the sum of its proper divisors (1).

218081137 is an equidigital number, since it uses as much as digits as its factorization.

218081137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 218081137 is about 14767.5704501451. The cubic root of 218081137 is about 601.9208228742.

The spelling of 218081137 in words is "two hundred eighteen million, eighty-one thousand, one hundred thirty-seven".