Search a number
-
+
15115020041 = 112157795653
BaseRepresentation
bin11100001001110110…
…01110011100001001
31110000101120120112002
432010323032130021
5221423421120131
610535503200345
71043364356552
oct160473163411
943011516462
1015115020041
116457042300
122b19ba60b5
13156b61b354
14a35605329
155d6e846cb
hex384ece709

15115020041 has 12 divisors (see below), whose sum is σ = 16719873156. Its totient is φ = 13653388320.

The previous prime is 15115020031. The next prime is 15115020061. The reversal of 15115020041 is 14002051151.

15115020041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5659402441 + 9455617600 = 75229^2 + 97240^2 .

It is not a de Polignac number, because 15115020041 - 26 = 15115019977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15115019995 and 15115020022.

It is not an unprimeable number, because it can be changed into a prime (15115020031) 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 11 ways as a sum of consecutive naturals, for example, 378830 + ... + 416823.

It is an arithmetic number, because the mean of its divisors is an integer number (1393322763).

Almost surely, 215115020041 is an apocalyptic number.

15115020041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

15115020041 is a deficient number, since it is larger than the sum of its proper divisors (1604853115).

15115020041 is a wasteful number, since it uses less digits than its factorization.

15115020041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795832 (or 795821 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 15115020041 its reverse (14002051151), we get a palindrome (29117071192).

The spelling of 15115020041 in words is "fifteen billion, one hundred fifteen million, twenty thousand, forty-one".

Divisors: 1 11 121 157 1727 18997 795653 8752183 96274013 124917521 1374092731 15115020041