Search a number
-
+
20117013 = 37957953
BaseRepresentation
bin100110010111…
…1011000010101
31101212001100120
41030233120111
520122221023
61555102153
7332664120
oct114573025
941761316
1020117013
11103a0234
1268a1959
134224777
1429593b7
151b758e3
hex132f615

20117013 has 8 divisors (see below), whose sum is σ = 30654528. Its totient is φ = 11495424.

The previous prime is 20117003. The next prime is 20117023. The reversal of 20117013 is 31071102.

It is an interprime number because it is at equal distance from previous prime (20117003) and next prime (20117023).

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

It is not a de Polignac number, because 20117013 - 24 = 20116997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20116983 and 20117001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478956 + ... + 478997.

It is an arithmetic number, because the mean of its divisors is an integer number (3831816).

Almost surely, 220117013 is an apocalyptic number.

It is an amenable number.

20117013 is a deficient number, since it is larger than the sum of its proper divisors (10537515).

20117013 is an equidigital number, since it uses as much as digits as its factorization.

20117013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957963.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 20117013 is about 4485.1993266743. The cubic root of 20117013 is about 271.9701028630.

Adding to 20117013 its reverse (31071102), we get a palindrome (51188115).

The spelling of 20117013 in words is "twenty million, one hundred seventeen thousand, thirteen".

Divisors: 1 3 7 21 957953 2873859 6705671 20117013