Search a number
-
+
10117422289 = 131674660259
BaseRepresentation
bin10010110110000101…
…11001110011010001
3222010002201022020001
421123002321303101
5131210030003124
64351535250001
7505501445662
oct113302716321
928102638201
1010117422289
114322026127
121b64379901
13c53121010
146bd9ab369
153e3354b44
hex25b0b9cd1

10117422289 has 8 divisors (see below), whose sum is σ = 10960931520. Its totient is φ = 9283233936.

The previous prime is 10117422281. The next prime is 10117422317. The reversal of 10117422289 is 98222471101.

10117422289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10117422289 - 23 = 10117422281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10117422281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327959 + ... + 2332300.

It is an arithmetic number, because the mean of its divisors is an integer number (1370116440).

Almost surely, 210117422289 is an apocalyptic number.

It is an amenable number.

10117422289 is a deficient number, since it is larger than the sum of its proper divisors (843509231).

10117422289 is a wasteful number, since it uses less digits than its factorization.

10117422289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660439.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 10117422289 in words is "ten billion, one hundred seventeen million, four hundred twenty-two thousand, two hundred eighty-nine".

Divisors: 1 13 167 2171 4660259 60583367 778263253 10117422289