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214005226117 is a prime number
BaseRepresentation
bin1100011101001110110…
…1001001101010000101
3202110101101120212221211
43013103231021222011
512001240314213432
6242151310411421
721314151260014
oct3072355115205
9673341525854
10214005226117
1182839409941
1235585b00b71
1317246a3aa17
14a502158a7b
155877c8ad47
hex31d3b49a85

214005226117 has 2 divisors, whose sum is σ = 214005226118. Its totient is φ = 214005226116.

The previous prime is 214005226109. The next prime is 214005226129. The reversal of 214005226117 is 711622500412.

214005226117 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., 210418533796 + 3586692321 = 458714^2 + 59889^2 .

It is a cyclic number.

It is not a de Polignac number, because 214005226117 - 23 = 214005226109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214005226717) 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, 107002613058 + 107002613059.

It is an arithmetic number, because the mean of its divisors is an integer number (107002613059).

Almost surely, 2214005226117 is an apocalyptic number.

It is an amenable number.

214005226117 is a deficient number, since it is larger than the sum of its proper divisors (1).

214005226117 is an equidigital number, since it uses as much as digits as its factorization.

214005226117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 214005226117 its reverse (711622500412), we get a palindrome (925627726529).

The spelling of 214005226117 in words is "two hundred fourteen billion, five million, two hundred twenty-six thousand, one hundred seventeen".