Search a number
-
+
10113442017 = 378327720947
BaseRepresentation
bin10010110101100111…
…01110000011100001
3222002211020002022120
421122303232003201
5131203020121032
64351314054453
7505422560460
oct113263560341
928084202276
1010113442017
11431a857748
121b62b7a429
13c52359423
146bd2529d7
153e2d1a62c
hex25acee0e1

10113442017 has 32 divisors (see below), whose sum is σ = 15653686272. Its totient is φ = 5688598464.

The previous prime is 10113441983. The next prime is 10113442019. The reversal of 10113442017 is 71024431101.

10113442017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10113442017 - 210 = 10113440993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113442019) 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 31 ways as a sum of consecutive naturals, for example, 472338 + ... + 493284.

It is an arithmetic number, because the mean of its divisors is an integer number (489177696).

Almost surely, 210113442017 is an apocalyptic number.

It is an amenable number.

10113442017 is a deficient number, since it is larger than the sum of its proper divisors (5540244255).

10113442017 is a wasteful number, since it uses less digits than its factorization.

10113442017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317.

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 10113442017 its reverse (71024431101), we get a palindrome (81137873118).

The spelling of 10113442017 in words is "ten billion, one hundred thirteen million, four hundred forty-two thousand, seventeen".

Divisors: 1 3 7 21 83 249 277 581 831 1743 1939 5817 20947 22991 62841 68973 146629 160937 439887 482811 1738601 5215803 5802319 12170207 17406957 36510621 40616233 121848699 481592477 1444777431 3371147339 10113442017