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218072427901 is a prime number
BaseRepresentation
bin1100101100011000100…
…0010010110101111101
3202211212211202010220221
43023012020102311331
512033103020143101
6244103040541341
721520016024116
oct3130610226575
9684784663827
10218072427901
1184536222829
1236320021851
131774455b3b3
14a7aa3a320d
155a14d87aa1
hex32c6212d7d

218072427901 has 2 divisors, whose sum is σ = 218072427902. Its totient is φ = 218072427900.

The previous prime is 218072427893. The next prime is 218072427949. The reversal of 218072427901 is 109724270812.

218072427901 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., 215737025625 + 2335402276 = 464475^2 + 48326^2 .

It is a cyclic number.

It is not a de Polignac number, because 218072427901 - 23 = 218072427893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218072427301) 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, 109036213950 + 109036213951.

It is an arithmetic number, because the mean of its divisors is an integer number (109036213951).

Almost surely, 2218072427901 is an apocalyptic number.

It is an amenable number.

218072427901 is a deficient number, since it is larger than the sum of its proper divisors (1).

218072427901 is an equidigital number, since it uses as much as digits as its factorization.

218072427901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 218072427901 in words is "two hundred eighteen billion, seventy-two million, four hundred twenty-seven thousand, nine hundred one".