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11304430000 = 24541959497
BaseRepresentation
bin10101000011100101…
…11110100110110000
31002011211021112200121
422201302332212300
5141122413230000
65105421100024
7550064032603
oct124162764660
932154245617
1011304430000
114881068636
1222359b7614
1310b2016946
147934b833a
15462675b1a
hex2a1cbe9b0

11304430000 has 100 divisors (see below), whose sum is σ = 28810121560. Its totient is φ = 4283712000.

The previous prime is 11304429979. The next prime is 11304430037. The reversal of 11304430000 is 3440311.

11304430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×113044300003 (a number of 31 digits) contains 333 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 160252 + ... + 219748.

Almost surely, 211304430000 is an apocalyptic number.

11304430000 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 11304430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14405060780).

11304430000 is an abundant number, since it is smaller than the sum of its proper divisors (17505691560).

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

11304430000 is an equidigital number, since it uses as much as digits as its factorization.

11304430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59544 (or 59523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11304430000 its reverse (3440311), we get a palindrome (11307870311).

The spelling of 11304430000 in words is "eleven billion, three hundred four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 625 760 950 1000 1250 1520 1900 2000 2375 2500 3800 4750 5000 7600 9500 10000 11875 19000 23750 38000 47500 59497 95000 118994 190000 237988 297485 475976 594970 951952 1130443 1189940 1487425 2260886 2379880 2974850 4521772 4759760 5652215 5949700 7437125 9043544 11304430 11899400 14874250 18087088 22608860 23798800 28261075 29748500 37185625 45217720 56522150 59497000 74371250 90435440 113044300 118994000 141305375 148742500 226088600 282610750 297485000 452177200 565221500 594970000 706526875 1130443000 1413053750 2260886000 2826107500 5652215000 11304430000