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214020687817 is a prime number
BaseRepresentation
bin1100011101010010100…
…0001000011111001001
3202110102110200102102101
43013110220020133021
512001303244002232
6242153022033401
721314426554606
oct3072450103711
9673373612371
10214020687817
118284710a502
123558b118861
1317249cc2561
14a5042216ad
1558792e21e7
hex31d4a087c9

214020687817 has 2 divisors, whose sum is σ = 214020687818. Its totient is φ = 214020687816.

The previous prime is 214020687767. The next prime is 214020687821. The reversal of 214020687817 is 718786020412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196688702016 + 17331985801 = 443496^2 + 131651^2 .

It is a cyclic number.

It is not a de Polignac number, because 214020687817 - 235 = 179660949449 is a prime.

It is not a weakly prime, because it can be changed into another prime (214020687827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107010343908 + 107010343909.

It is an arithmetic number, because the mean of its divisors is an integer number (107010343909).

Almost surely, 2214020687817 is an apocalyptic number.

It is an amenable number.

214020687817 is a deficient number, since it is larger than the sum of its proper divisors (1).

214020687817 is an equidigital number, since it uses as much as digits as its factorization.

214020687817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 214020687817 in words is "two hundred fourteen billion, twenty million, six hundred eighty-seven thousand, eight hundred seventeen".