Search a number
-
+
110007051017 = 1737174891973
BaseRepresentation
bin110011001110011101…
…1100110001100001001
3101111221120200012112212
41212130323212030021
53300243301113032
6122311520514505
710643035335233
oct1463473461411
9344846605485
10110007051017
11427211266a6
12193a117ba35
13a4b1ac83c6
1454780db253
152cdca3bbb2
hex199cee6309

110007051017 has 8 divisors (see below), whose sum is σ = 119626110216. Its totient is φ = 100737775872.

The previous prime is 110007050999. The next prime is 110007051047. The reversal of 110007051017 is 710150700011.

It can be written as a sum of positive squares in 4 ways, for example, as 67629123136 + 42377927881 = 260056^2 + 205859^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110007051017 - 28 = 110007050761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110007050983 and 110007051001.

It is not an unprimeable number, because it can be changed into a prime (110007051047) 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 in 7 ways as a sum of consecutive naturals, for example, 87445358 + ... + 87446615.

It is an arithmetic number, because the mean of its divisors is an integer number (14953263777).

Almost surely, 2110007051017 is an apocalyptic number.

110007051017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

110007051017 is a deficient number, since it is larger than the sum of its proper divisors (9619059199).

110007051017 is a wasteful number, since it uses less digits than its factorization.

110007051017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174892027.

The product of its (nonzero) digits is 245, while the sum is 23.

Adding to 110007051017 its reverse (710150700011), we get a palindrome (820157751028).

The spelling of 110007051017 in words is "one hundred ten billion, seven million, fifty-one thousand, seventeen".

Divisors: 1 17 37 629 174891973 2973163541 6471003001 110007051017