Search a number
-
+
10110010101017 is a prime number
BaseRepresentation
bin1001001100011110101110…
…0011111000110100011001
31022210111200222122102012012
42103013223203320310121
52311120300041213032
633300250255155305
72062265321644631
oct223075343706431
938714628572165
1010110010101017
1132486a4153182
121173479b15b35
135844a6780c58
1426d4817c16c1
15127eb7d836b2
hex931eb8f8d19

10110010101017 has 2 divisors, whose sum is σ = 10110010101018. Its totient is φ = 10110010101016.

The previous prime is 10110010100987. The next prime is 10110010101031. The reversal of 10110010101017 is 71010101001101.

It is an a-pointer prime, because the next prime (10110010101031) can be obtained adding 10110010101017 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5403969726736 + 4706040374281 = 2324644^2 + 2169341^2 .

It is an emirp because it is prime and its reverse (71010101001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110010101017 - 226 = 10109942992153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110010100992 and 10110010101010.

It is not a weakly prime, because it can be changed into another prime (10110010100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055005050508 + 5055005050509.

It is an arithmetic number, because the mean of its divisors is an integer number (5055005050509).

Almost surely, 210110010101017 is an apocalyptic number.

It is an amenable number.

10110010101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110010101017 is an equidigital number, since it uses as much as digits as its factorization.

10110010101017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10110010101017 its reverse (71010101001101), we get a palindrome (81120111102118).

The spelling of 10110010101017 in words is "ten trillion, one hundred ten billion, ten million, one hundred one thousand, seventeen".