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218278155101 is a prime number
BaseRepresentation
bin1100101101001001100…
…1000101001101011101
3202212102011212011120212
43023102121011031131
512034013201430401
6244135310222205
721525064463636
oct3132231051535
9685364764525
10218278155101
1184631367706
1236378ab4965
131777806c476
14a7c983688d
155a27e73dbb
hex32d264535d

218278155101 has 2 divisors, whose sum is σ = 218278155102. Its totient is φ = 218278155100.

The previous prime is 218278155061. The next prime is 218278155103. The reversal of 218278155101 is 101551872812.

It is a happy number.

218278155101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147378442201 + 70899712900 = 383899^2 + 266270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218278155101 is a prime.

Together with 218278155103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218278155103) 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, 109139077550 + 109139077551.

It is an arithmetic number, because the mean of its divisors is an integer number (109139077551).

Almost surely, 2218278155101 is an apocalyptic number.

It is an amenable number.

218278155101 is a deficient number, since it is larger than the sum of its proper divisors (1).

218278155101 is an equidigital number, since it uses as much as digits as its factorization.

218278155101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 41.

The spelling of 218278155101 in words is "two hundred eighteen billion, two hundred seventy-eight million, one hundred fifty-five thousand, one hundred one".