Search a number
-
+
105793100713 = 2328316253357
BaseRepresentation
bin110001010000111000…
…0101001101110101001
3101010001220101100110101
41202201300221232221
53213131013210323
6120333425145401
710433436342646
oct1424160515651
9333056340411
10105793100713
11409594a1443
1218605a8b261
139c8ca76aa1
1451985b2dcd
152b42b03dad
hex18a1c29ba9

105793100713 has 8 divisors (see below), whose sum is σ = 110782888128. Its totient is φ = 100835820624.

The previous prime is 105793100671. The next prime is 105793100717. The reversal of 105793100713 is 317001397501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105793100713 is a prime.

It is a super-2 number, since 2×1057931007132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105793100717) 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, 8120170 + ... + 8133187.

It is an arithmetic number, because the mean of its divisors is an integer number (13847861016).

Almost surely, 2105793100713 is an apocalyptic number.

It is an amenable number.

105793100713 is a deficient number, since it is larger than the sum of its proper divisors (4989787415).

105793100713 is a wasteful number, since it uses less digits than its factorization.

105793100713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253663.

The product of its (nonzero) digits is 19845, while the sum is 37.

The spelling of 105793100713 in words is "one hundred five billion, seven hundred ninety-three million, one hundred thousand, seven hundred thirteen".

Divisors: 1 23 283 6509 16253357 373827211 4599700031 105793100713