Search a number
-
+
1330031010 = 235721183991
BaseRepresentation
bin100111101000110…
…1010100110100010
310102200200120112210
41033101222212202
510210441443020
6335551102550
744650035300
oct11721524642
93380616483
101330031010
11622849a90
12311511a56
131827210c9
14c88db270
157bb733e0
hex4f46a9a2

1330031010 has 192 divisors, whose sum is σ = 4103737344. Its totient is φ = 272764800.

The previous prime is 1330030993. The next prime is 1330031011. The reversal of 1330031010 is 101300331.

It is not an unprimeable number, because it can be changed into a prime (1330031011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1341615 + ... + 1342605.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 21330031010 is an apocalyptic number.

1330031010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051868672).

1330031010 is an abundant number, since it is smaller than the sum of its proper divisors (2773706334).

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

1330031010 is a wasteful number, since it uses less digits than its factorization.

1330031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1330031010 is about 36469.5902088302. The cubic root of 1330031010 is about 1099.7329958011.

Adding to 1330031010 its reverse (101300331), we get a palindrome (1431331341).

The spelling of 1330031010 in words is "one billion, three hundred thirty million, thirty-one thousand, ten".