Search a number
-
+
110130313120 = 255743926399
BaseRepresentation
bin110011010010001000…
…1110011011110100000
3101112021011121120100221
41212210101303132200
53301021330004440
6122332042452424
710646063134042
oct1464421633640
9345234546327
10110130313120
1142784766303
1219416504114
13a5014c5069
14548a625a92
152ce8788d4a
hex19a44737a0

110130313120 has 48 divisors (see below), whose sum is σ = 260533324800. Its totient is φ = 43992788224.

The previous prime is 110130313093. The next prime is 110130313243. The reversal of 110130313120 is 21313031011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110130313094 and 110130313103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 344320 + ... + 582079.

It is an arithmetic number, because the mean of its divisors is an integer number (5427777600).

Almost surely, 2110130313120 is an apocalyptic number.

110130313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110130313120 is an abundant number, since it is smaller than the sum of its proper divisors (150403011680).

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

110130313120 is an equidigital number, since it uses as much as digits as its factorization.

110130313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927157 (or 927149 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110130313120 its reverse (21313031011), we get a palindrome (131443344131).

The spelling of 110130313120 in words is "one hundred ten billion, one hundred thirty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 743 1486 2972 3715 5944 7430 11888 14860 23776 29720 59440 118880 926399 1852798 3705596 4631995 7411192 9263990 14822384 18527980 29644768 37055960 74111920 148223840 688314457 1376628914 2753257828 3441572285 5506515656 6883144570 11013031312 13766289140 22026062624 27532578280 55065156560 110130313120