Search a number
-
+
111101100017 is a prime number
BaseRepresentation
bin110011101111000100…
…1000011111111110001
3101121202211022122122012
41213132021003333301
53310013340200032
6123012242052305
711012121524405
oct1473611037761
9347684278565
10111101100017
1143132746926
121964764a095
13a62767448b
14553d52b105
152d53ae96b2
hex19de243ff1

111101100017 has 2 divisors, whose sum is σ = 111101100018. Its totient is φ = 111101100016.

The previous prime is 111101099999. The next prime is 111101100041. The reversal of 111101100017 is 710001101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60390113536 + 50710986481 = 245744^2 + 225191^2 .

It is an emirp because it is prime and its reverse (710001101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101100017 - 210 = 111101098993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111101099974 and 111101100010.

It is not a weakly prime, because it can be changed into another prime (111101100067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550550008 + 55550550009.

It is an arithmetic number, because the mean of its divisors is an integer number (55550550009).

Almost surely, 2111101100017 is an apocalyptic number.

It is an amenable number.

111101100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101100017 is an equidigital number, since it uses as much as digits as its factorization.

111101100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 111101100017 its reverse (710001101111), we get a palindrome (821102201128).

The spelling of 111101100017 in words is "one hundred eleven billion, one hundred one million, one hundred thousand, seventeen".