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11140211200 = 2952870329
BaseRepresentation
bin10100110000000001…
…00010001000000000
31001202101021100211211
422120000202020000
5140303343224300
65041233215504
7543031142566
oct123000421000
931671240754
1011140211200
1147a73a4618
1221aaa01594
131086ca9b61
1477976ba36
154530384ba
hex298022200

11140211200 has 60 divisors (see below), whose sum is σ = 27600775290. Its totient is φ = 4456079360.

The previous prime is 11140211189. The next prime is 11140211219. The reversal of 11140211200 is 211204111.

It can be written as a sum of positive squares in 3 ways, for example, as 5744427264 + 5395783936 = 75792^2 + 73456^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 422365 + ... + 447964.

Almost surely, 211140211200 is an apocalyptic number.

11140211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140211200 is an abundant number, since it is smaller than the sum of its proper divisors (16460564090).

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

11140211200 is an frugal number, since it uses more digits than its factorization.

11140211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870357 (or 870336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11140211200 its reverse (211204111), we get a palindrome (11351415311).

The spelling of 11140211200 in words is "eleven billion, one hundred forty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 870329 1740658 3481316 4351645 6962632 8703290 13925264 17406580 21758225 27850528 34813160 43516450 55701056 69626320 87032900 111402112 139252640 174065800 222804224 278505280 348131600 445608448 557010560 696263200 1114021120 1392526400 2228042240 2785052800 5570105600 11140211200