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11320211200 = 28523894547
BaseRepresentation
bin10101000101011110…
…01011011100000000
31002012220222022102111
422202233023130000
5141140433224300
65111143225104
7550345131124
oct124257133400
932186868374
1011320211200
114889a67251
12223b148194
1310b5380a2c
14795625584
15463c419ba
hex2a2bcb700

11320211200 has 108 divisors (see below), whose sum is σ = 28097498520. Its totient is φ = 4515450880.

The previous prime is 11320211171. The next prime is 11320211207. The reversal of 11320211200 is 211202311.

It is a super-2 number, since 2×113202112002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320211207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2487327 + ... + 2491873.

Almost surely, 211320211200 is an apocalyptic number.

11320211200 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 11320211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048749260).

11320211200 is an abundant number, since it is smaller than the sum of its proper divisors (16777287320).

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

11320211200 is an equidigital number, since it uses as much as digits as its factorization.

11320211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4943 counting only the distinct ones).

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

Adding to 11320211200 its reverse (211202311), we get a palindrome (11531413511).

The spelling of 11320211200 in words is "eleven billion, three hundred twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 389 400 640 778 800 1280 1556 1600 1945 3112 3200 3890 4547 6224 6400 7780 9094 9725 12448 15560 18188 19450 22735 24896 31120 36376 38900 45470 49792 62240 72752 77800 90940 99584 113675 124480 145504 155600 181880 227350 248960 291008 311200 363760 454700 497920 582016 622400 727520 909400 1164032 1244800 1455040 1768783 1818800 2489600 2910080 3537566 3637600 5820160 7075132 7275200 8843915 14150264 14550400 17687830 28300528 29100800 35375660 44219575 56601056 70751320 88439150 113202112 141502640 176878300 226404224 283005280 353756600 452808448 566010560 707513200 1132021120 1415026400 2264042240 2830052800 5660105600 11320211200