Search a number
-
+
2110110217 is a prime number
BaseRepresentation
bin111110111000101…
…1011101000001001
312110001112201001021
41331301123220021
513310142011332
6545214552441
7103201432555
oct17561335011
95401481037
102110110217
11993114046
124aa808721
1327821a937
1416035c865
15c53b2c97
hex7dc5ba09

2110110217 has 2 divisors, whose sum is σ = 2110110218. Its totient is φ = 2110110216.

The previous prime is 2110110203. The next prime is 2110110239. The reversal of 2110110217 is 7120110112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1977491961 + 132618256 = 44469^2 + 11516^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2110110217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2110110217.

It is not a weakly prime, because it can be changed into another prime (2110110257) 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, 1055055108 + 1055055109.

It is an arithmetic number, because the mean of its divisors is an integer number (1055055109).

Almost surely, 22110110217 is an apocalyptic number.

It is an amenable number.

2110110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110110217 is an equidigital number, since it uses as much as digits as its factorization.

2110110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 2110110217 is about 45935.9360087503. The cubic root of 2110110217 is about 1282.6309445822.

Adding to 2110110217 its reverse (7120110112), we get a palindrome (9230220329).

The spelling of 2110110217 in words is "two billion, one hundred ten million, one hundred ten thousand, two hundred seventeen".