Search a number
-
+
110110100977 is a prime number
BaseRepresentation
bin110011010001100010…
…0101100110111110001
3101112012202120200112001
41212203010230313301
53301001141212402
6122330041334001
710645426262362
oct1464304546761
9345182520461
10110110100977
1142774310658
121940b797301
13a4ca269206
145487a83b69
152ce6ae5187
hex19a312cdf1

110110100977 has 2 divisors, whose sum is σ = 110110100978. Its totient is φ = 110110100976.

The previous prime is 110110100953. The next prime is 110110100999. The reversal of 110110100977 is 779001011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59323422096 + 50786678881 = 243564^2 + 225359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110110100977 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110100917) 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, 55055050488 + 55055050489.

It is an arithmetic number, because the mean of its divisors is an integer number (55055050489).

Almost surely, 2110110100977 is an apocalyptic number.

It is an amenable number.

110110100977 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110100977 is an equidigital number, since it uses as much as digits as its factorization.

110110100977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 28.

Adding to 110110100977 its reverse (779001011011), we get a palindrome (889111111988).

The spelling of 110110100977 in words is "one hundred ten billion, one hundred ten million, one hundred thousand, nine hundred seventy-seven".