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11102012200 = 2352617911519
BaseRepresentation
bin10100101011011101…
…10100001100101000
31001122201101122200001
422111232310030220
5140214103342300
65033350352344
7542055355336
oct122556641450
931581348601
1011102012200
1147878840a4
12219a05b6b4
13107c0c3cb6
14774666b56
1544e9e016a
hex295bb4328

11102012200 has 96 divisors (see below), whose sum is σ = 26569728000. Its totient is φ = 4312339200.

The previous prime is 11102012179. The next prime is 11102012219. The reversal of 11102012200 is 221020111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958041 + ... + 969559.

It is an arithmetic number, because the mean of its divisors is an integer number (276768000).

Almost surely, 211102012200 is an apocalyptic number.

11102012200 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 11102012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284864000).

11102012200 is an abundant number, since it is smaller than the sum of its proper divisors (15467715800).

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

11102012200 is a wasteful number, since it uses less digits than its factorization.

11102012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11675 (or 11666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11102012200 its reverse (221020111), we get a palindrome (11323032311).

The spelling of 11102012200 in words is "eleven billion, one hundred two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 79 100 122 158 200 244 305 316 395 488 610 632 790 1220 1525 1580 1975 2440 3050 3160 3950 4819 6100 7900 9638 11519 12200 15800 19276 23038 24095 38552 46076 48190 57595 92152 96380 115190 120475 192760 230380 240950 287975 460760 481900 575950 702659 910001 963800 1151900 1405318 1820002 2303800 2810636 3513295 3640004 4550005 5621272 7026590 7280008 9100010 14053180 17566475 18200020 22750025 28106360 35132950 36400040 45500050 55510061 70265900 91000100 111020122 140531800 182000200 222040244 277550305 444080488 555100610 1110201220 1387751525 2220402440 2775503050 5551006100 11102012200