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11024104300 = 22521125771579
BaseRepresentation
bin10100100010001011…
…00111101101101100
31001110021210112010021
422101011213231230
5140034132314200
65021524451524
7540121224526
oct122105475554
931407715107
1011024104300
114747901800
122177b49ba4
131068c16c51
14768186a16
15447c5141a
hex291167b6c

11024104300 has 108 divisors (see below), whose sum is σ = 26357019640. Its totient is φ = 3999283200.

The previous prime is 11024104279. The next prime is 11024104303. The reversal of 11024104300 is 340142011.

11024104300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11024104303) 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 35 ways as a sum of consecutive naturals, for example, 6980911 + ... + 6982489.

Almost surely, 211024104300 is an apocalyptic number.

11024104300 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 11024104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178509820).

11024104300 is an abundant number, since it is smaller than the sum of its proper divisors (15332915340).

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

11024104300 is a wasteful number, since it uses less digits than its factorization.

11024104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11024104300 its reverse (340142011), we get a palindrome (11364246311).

The spelling of 11024104300 in words is "eleven billion, twenty-four million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 577 605 1100 1154 1210 1579 2308 2420 2885 3025 3158 5770 6050 6316 6347 7895 11540 12100 12694 14425 15790 17369 25388 28850 31580 31735 34738 39475 57700 63470 69476 69817 78950 86845 126940 139634 157900 158675 173690 191059 279268 317350 347380 349085 382118 434225 634700 698170 764236 868450 911083 955295 1396340 1736900 1745425 1822166 1910590 3490850 3644332 3821180 4555415 4776475 6981700 9110830 9552950 10021913 18221660 19105900 20043826 22777075 40087652 45554150 50109565 91108300 100219130 110241043 200438260 220482086 250547825 440964172 501095650 551205215 1002191300 1102410430 2204820860 2756026075 5512052150 11024104300