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11303320200 = 23352115316339
BaseRepresentation
bin10101000011011101…
…01111101010001000
31002011202012011022220
422201232233222020
5141122122221300
65105341214040
7550051431204
oct124156575210
932152164286
1011303320200
11488047a847
122235561320
1310b1a18763
147932a9b04
15462506da0
hex2a1bafa88

11303320200 has 96 divisors (see below), whose sum is σ = 35072829600. Its totient is φ = 3011420160.

The previous prime is 11303320199. The next prime is 11303320201. The reversal of 11303320200 is 202330311.

11303320200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11303320199) and next prime (11303320201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11303320200.

It is not an unprimeable number, because it can be changed into a prime (11303320201) 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, 683631 + ... + 699969.

It is an arithmetic number, because the mean of its divisors is an integer number (365341975).

Almost surely, 211303320200 is an apocalyptic number.

11303320200 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 11303320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536414800).

11303320200 is an abundant number, since it is smaller than the sum of its proper divisors (23769509400).

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

11303320200 is a wasteful number, since it uses less digits than its factorization.

11303320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17511 (or 17502 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11303320200 its reverse (202330311), we get a palindrome (11505650511).

The spelling of 11303320200 in words is "eleven billion, three hundred three million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1153 2306 3459 4612 5765 6918 9224 11530 13836 16339 17295 23060 27672 28825 32678 34590 46120 49017 57650 65356 69180 81695 86475 98034 115300 130712 138360 163390 172950 196068 230600 245085 326780 345900 392136 408475 490170 653560 691800 816950 980340 1225425 1633900 1960680 2450850 3267800 4901700 9803400 18838867 37677734 56516601 75355468 94194335 113033202 150710936 188388670 226066404 282583005 376777340 452132808 470971675 565166010 753554680 941943350 1130332020 1412915025 1883886700 2260664040 2825830050 3767773400 5651660100 11303320200