Search a number
-
+
13160330820 = 2236572132109
BaseRepresentation
bin11000100000110101…
…01011011001000100
31020222011111002000000
430100122223121010
5203423021041240
610013515321300
7644060652300
oct142032533104
936864432000
1013160330820
11564373336a
122673450230
131319679c00
148cbb82d00
15520572430
hex3106ab644

13160330820 has 756 divisors, whose sum is σ = 52673003460. Its totient is φ = 2751211008.

The previous prime is 13160330803. The next prime is 13160330857. The reversal of 13160330820 is 2803306131.

It is a happy number.

13160330820 is a `hidden beast` number, since 1 + 3 + 1 + 603 + 30 + 8 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1635878916 + 11524451904 = 40446^2 + 107352^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 120736926 + ... + 120737034.

It is an arithmetic number, because the mean of its divisors is an integer number (69673285).

Almost surely, 213160330820 is an apocalyptic number.

13160330820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160330820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26336501730).

13160330820 is an abundant number, since it is smaller than the sum of its proper divisors (39512672640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13160330820 is a wasteful number, since it uses less digits than its factorization.

13160330820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13160330820 its reverse (2803306131), we get a palindrome (15963636951).

The spelling of 13160330820 in words is "thirteen billion, one hundred sixty million, three hundred thirty thousand, eight hundred twenty".