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11102212200 = 23352158311689
BaseRepresentation
bin10100101011011111…
…00101000001101000
31001122201202211000110
422111233211001220
5140214131242300
65033354534320
7542060150412
oct122557450150
931581684013
1011102212200
114787a00392
12219a1373a0
13107c164041
147746b99b2
1544ea2e550
hex295be5068

11102212200 has 96 divisors (see below), whose sum is σ = 34441545600. Its totient is φ = 2958466560.

The previous prime is 11102212181. The next prime is 11102212313. The reversal of 11102212200 is 221220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 943956 + ... + 955644.

It is an arithmetic number, because the mean of its divisors is an integer number (358766100).

Almost surely, 211102212200 is an apocalyptic number.

11102212200 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 11102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220772800).

11102212200 is an abundant number, since it is smaller than the sum of its proper divisors (23339333400).

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

11102212200 is a wasteful number, since it uses less digits than its factorization.

11102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102212200 its reverse (221220111), we get a palindrome (11323432311).

The spelling of 11102212200 in words is "eleven billion, one hundred two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1583 3166 4749 6332 7915 9498 11689 12664 15830 18996 23378 23745 31660 35067 37992 39575 46756 47490 58445 63320 70134 79150 93512 94980 116890 118725 140268 158300 175335 189960 233780 237450 280536 292225 316600 350670 467560 474900 584450 701340 876675 949800 1168900 1402680 1753350 2337800 3506700 7013400 18503687 37007374 55511061 74014748 92518435 111022122 148029496 185036870 222044244 277555305 370073740 444088488 462592175 555110610 740147480 925184350 1110221220 1387776525 1850368700 2220442440 2775553050 3700737400 5551106100 11102212200