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11121203200 = 21152832617
BaseRepresentation
bin10100101101110000…
…00001100000000000
31001201001111122202211
422112320001200000
5140234012000300
65035313551504
7542410444642
oct122670014000
931631448684
1011121203200
1147976a1628
1221a4575594
131083083113
14777020892
154515314ba
hex296e01800

11121203200 has 144 divisors (see below), whose sum is σ = 27916728840. Its totient is φ = 4393205760.

The previous prime is 11121203189. The next prime is 11121203201. The reversal of 11121203200 is 230212111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121203201) 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, 4248292 + ... + 4250908.

Almost surely, 211121203200 is an apocalyptic number.

11121203200 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 11121203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958364420).

11121203200 is an abundant number, since it is smaller than the sum of its proper divisors (16795525640).

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

11121203200 is an equidigital number, since it uses as much as digits as its factorization.

11121203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2707 counting only the distinct ones).

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

Adding to 11121203200 its reverse (230212111), we get a palindrome (11351415311).

The spelling of 11121203200 in words is "eleven billion, one hundred twenty-one million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 256 320 332 400 415 512 640 664 800 830 1024 1280 1328 1600 1660 2048 2075 2560 2617 2656 3200 3320 4150 5120 5234 5312 6400 6640 8300 10240 10468 10624 12800 13085 13280 16600 20936 21248 25600 26170 26560 33200 41872 42496 51200 52340 53120 65425 66400 83744 84992 104680 106240 130850 132800 167488 169984 209360 212480 217211 261700 265600 334976 418720 424960 434422 523400 531200 669952 837440 849920 868844 1046800 1062400 1086055 1339904 1674880 1737688 2093600 2124800 2172110 2679808 3349760 3475376 4187200 4249600 4344220 5359616 5430275 6699520 6950752 8374400 8688440 10860550 13399040 13901504 16748800 17376880 21721100 26798080 27803008 33497600 34753760 43442200 55606016 66995200 69507520 86884400 111212032 133990400 139015040 173768800 222424064 278030080 347537600 444848128 556060160 695075200 1112120320 1390150400 2224240640 2780300800 5560601600 11121203200