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11201320120 = 2354710315779
BaseRepresentation
bin10100110111010011…
…01001010010111000
31001220122021000112011
422123221221102320
5140420014220440
65051255055304
7544402435654
oct123351512270
931818230464
1011201320120
114828942661
122207371534
131096854793
14783917a64
154585a99ea
hex29ba694b8

11201320120 has 64 divisors (see below), whose sum is σ = 25768627200. Its totient is φ = 4380186240.

The previous prime is 11201320103. The next prime is 11201320127. The reversal of 11201320120 is 2102310211.

11201320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11201320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201320127) 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 15 ways as a sum of consecutive naturals, for example, 1935391 + ... + 1941169.

It is an arithmetic number, because the mean of its divisors is an integer number (402634800).

Almost surely, 211201320120 is an apocalyptic number.

11201320120 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 11201320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884313600).

11201320120 is an abundant number, since it is smaller than the sum of its proper divisors (14567307080).

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

11201320120 is a wasteful number, since it uses less digits than its factorization.

11201320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11201320120 its reverse (2102310211), we get a palindrome (13303630331).

Subtracting from 11201320120 its reverse (2102310211), we obtain a palindrome (9099009909).

The spelling of 11201320120 in words is "eleven billion, two hundred one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1031 1880 2062 4124 5155 5779 8248 10310 11558 20620 23116 28895 41240 46232 48457 57790 96914 115580 193828 231160 242285 271613 387656 484570 543226 969140 1086452 1358065 1938280 2172904 2716130 5432260 5958149 10864520 11916298 23832596 29790745 47665192 59581490 119162980 238325960 280033003 560066006 1120132012 1400165015 2240264024 2800330030 5600660060 11201320120