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218034800407 is a prime number
BaseRepresentation
bin1100101100001111100…
…0110000011100010111
3202211210012221110201001
43023003320300130113
512033013402103112
6244055214244131
721516051140014
oct3130370603427
9684705843631
10218034800407
1184516a62726
123630b4b6647
13177398156c8
14a7a53aa70b
155a11903c57
hex32c3e30717

218034800407 has 2 divisors, whose sum is σ = 218034800408. Its totient is φ = 218034800406.

The previous prime is 218034800393. The next prime is 218034800437. The reversal of 218034800407 is 704008430812.

218034800407 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218034800407 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218034800437) 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, 109017400203 + 109017400204.

It is an arithmetic number, because the mean of its divisors is an integer number (109017400204).

Almost surely, 2218034800407 is an apocalyptic number.

218034800407 is a deficient number, since it is larger than the sum of its proper divisors (1).

218034800407 is an equidigital number, since it uses as much as digits as its factorization.

218034800407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 218034800407 in words is "two hundred eighteen billion, thirty-four million, eight hundred thousand, four hundred seven".