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10113120300 = 22352199169399
BaseRepresentation
bin10010110101100100…
…11111100000101100
3222002210121202000010
421122302133200230
5131202424322200
64351303133220
7505420050513
oct113262374054
928083552003
1010113120300
11431a657a68
121b62a44210
13c52275b6a
146bd1ab67a
153e2ca5150
hex25ac9f82c

10113120300 has 72 divisors (see below), whose sum is σ = 29407840000. Its totient is φ = 2683264320.

The previous prime is 10113120287. The next prime is 10113120343. The reversal of 10113120300 is 302131101.

10113120300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 25000 + ... + 144399.

Almost surely, 210113120300 is an apocalyptic number.

10113120300 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 10113120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703920000).

10113120300 is an abundant number, since it is smaller than the sum of its proper divisors (19294719700).

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

10113120300 is a wasteful number, since it uses less digits than its factorization.

10113120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169615 (or 169608 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10113120300 its reverse (302131101), we get a palindrome (10415251401).

The spelling of 10113120300 in words is "ten billion, one hundred thirteen million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 398 597 796 995 1194 1990 2388 2985 3980 4975 5970 9950 11940 14925 19900 29850 59700 169399 338798 508197 677596 846995 1016394 1693990 2032788 2540985 3387980 4234975 5081970 8469950 10163940 12704925 16939900 25409850 33710401 50819700 67420802 101131203 134841604 168552005 202262406 337104010 404524812 505656015 674208020 842760025 1011312030 1685520050 2022624060 2528280075 3371040100 5056560150 10113120300