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101010111110017 is a prime number
BaseRepresentation
bin10110111101111000111111…
…110010101001101110000001
3111020122110202022120120011221
4112331320333302221232001
5101214422201421010032
6554455223205235041
730163511501000164
oct2675707762515601
9436573668516157
10101010111110017
112a20416943673a
12b3b4529a02a81
13444929c132605
141ad2cb6061adb
15ba2788a40597
hex5bde3fca9b81

101010111110017 has 2 divisors, whose sum is σ = 101010111110018. Its totient is φ = 101010111110016.

The previous prime is 101010111109967. The next prime is 101010111110033. The reversal of 101010111110017 is 710011111010101.

It is an a-pointer prime, because the next prime (101010111110033) can be obtained adding 101010111110017 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85592269088881 + 15417842021136 = 9251609^2 + 3926556^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101010111110017 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010111140017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055555008 + 50505055555009.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055555009).

Almost surely, 2101010111110017 is an apocalyptic number.

It is an amenable number.

101010111110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111110017 is an equidigital number, since it uses as much as digits as its factorization.

101010111110017 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 16.

Adding to 101010111110017 its reverse (710011111010101), we get a palindrome (811021222120118).

The spelling of 101010111110017 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred ten thousand, seventeen".