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114000217 is a prime number
BaseRepresentation
bin1101100101110…
…00000101011001
321221111210220021
412302320011121
5213141001332
615151230441
72552662102
oct662700531
9257453807
10114000217
1159394061
1232218421
131a806066
14111d73a9
15a01cc97
hex6cb8159

114000217 has 2 divisors, whose sum is σ = 114000218. Its totient is φ = 114000216.

The previous prime is 114000203. The next prime is 114000233. The reversal of 114000217 is 712000411.

It is an a-pointer prime, because the next prime (114000233) can be obtained adding 114000217 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 11909401 = 10104^2 + 3451^2 .

It is an emirp because it is prime and its reverse (712000411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114000217 - 223 = 105611609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114000217.

It is not a weakly prime, because it can be changed into another prime (114000287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57000108 + 57000109.

It is an arithmetic number, because the mean of its divisors is an integer number (57000109).

Almost surely, 2114000217 is an apocalyptic number.

It is an amenable number.

114000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

114000217 is an equidigital number, since it uses as much as digits as its factorization.

114000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 114000217 is about 10677.0884139825. The cubic root of 114000217 is about 484.8810662421.

Adding to 114000217 its reverse (712000411), we get a palindrome (826000628).

The spelling of 114000217 in words is "one hundred fourteen million, two hundred seventeen", and thus it is an aban number.