Search a number
-
+
111100110000169 is a prime number
BaseRepresentation
bin11001010000101110000010…
…100101110101000000101001
3112120101001210200121010201011
4121100232002211311000221
5104030231011130001134
61032142404055023521
732254501203316363
oct3120560245650051
9476331720533634
10111100110000169
11324443237a2a14
1210563b4206aba1
1349cb906ab1b94
141d613b9c7dd33
15cc9e7eb91264
hex650b82975029

111100110000169 has 2 divisors, whose sum is σ = 111100110000170. Its totient is φ = 111100110000168.

The previous prime is 111100110000079. The next prime is 111100110000251. The reversal of 111100110000169 is 961000011001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90692195330025 + 20407914670144 = 9523245^2 + 4517512^2 .

It is an emirp because it is prime and its reverse (961000011001111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111100110000169 - 27 = 111100110000041 is a prime.

It is a super-2 number, since 2×1111001100001692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111100110060169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550055000084 + 55550055000085.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055000085).

Almost surely, 2111100110000169 is an apocalyptic number.

It is an amenable number.

111100110000169 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100110000169 is an equidigital number, since it uses as much as digits as its factorization.

111100110000169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 22.

The spelling of 111100110000169 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred sixty-nine", and thus it is an aban number.