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218361232049 is a prime number
BaseRepresentation
bin1100101101011101010…
…1111111101010110001
3202212121222011220201212
43023113111333222301
512034200433411144
6244151435005505
721530123563532
oct3132725775261
9685558156655
10218361232049
118467424a644
12363a0899895
131778c33921c
14a7d68a0689
155a303d449e
hex32d757fab1

218361232049 has 2 divisors, whose sum is σ = 218361232050. Its totient is φ = 218361232048.

The previous prime is 218361232031. The next prime is 218361232057. The reversal of 218361232049 is 940232163812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195600983824 + 22760248225 = 442268^2 + 150865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218361232049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218361231997 and 218361232015.

It is not a weakly prime, because it can be changed into another prime (218361232009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109180616024 + 109180616025.

It is an arithmetic number, because the mean of its divisors is an integer number (109180616025).

Almost surely, 2218361232049 is an apocalyptic number.

It is an amenable number.

218361232049 is a deficient number, since it is larger than the sum of its proper divisors (1).

218361232049 is an equidigital number, since it uses as much as digits as its factorization.

218361232049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 218361232049 in words is "two hundred eighteen billion, three hundred sixty-one million, two hundred thirty-two thousand, forty-nine".