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11202023300 = 22521361314057
BaseRepresentation
bin10100110111011000…
…10100111110000100
31001220200120202002212
422123230110332010
5140420204221200
65051322122552
7544411425026
oct123354247604
931820522085
1011202023300
1148292829a6
122207650458
131096a3c870
14783a5c016
15458698035
hex29bb14f84

11202023300 has 72 divisors (see below), whose sum is σ = 26222837256. Its totient is φ = 4129090560.

The previous prime is 11202023291. The next prime is 11202023303. The reversal of 11202023300 is 332020211.

It is a happy number.

11202023300 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 12 ways, for example, as 10867645504 + 334377796 = 104248^2 + 18286^2 .

It is not an unprimeable number, because it can be changed into a prime (11202023303) 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 23 ways as a sum of consecutive naturals, for example, 789872 + ... + 803928.

It is an arithmetic number, because the mean of its divisors is an integer number (364206073).

Almost surely, 211202023300 is an apocalyptic number.

11202023300 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 11202023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111418628).

11202023300 is an abundant number, since it is smaller than the sum of its proper divisors (15020813956).

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

11202023300 is a wasteful number, since it uses less digits than its factorization.

11202023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 11202023300 its reverse (332020211), we get a palindrome (11534043511).

The spelling of 11202023300 in words is "eleven billion, two hundred two million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 613 650 1226 1300 2452 3065 6130 7969 12260 14057 15325 15938 28114 30650 31876 39845 56228 61300 70285 79690 140570 159380 182741 199225 281140 351425 365482 398450 702850 730964 796900 913705 1405700 1827410 3654820 4568525 8616941 9137050 17233882 18274100 34467764 43084705 86169410 112020233 172338820 215423525 224040466 430847050 448080932 560101165 861694100 1120202330 2240404660 2800505825 5601011650 11202023300