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11012200200 = 23325214714159
BaseRepresentation
bin10100100000110000…
…01101011100001000
31001102110101201202200
422100120031130020
5140023110401300
65020421400200
7536615104641
oct122030153410
931373351680
1011012200200
114741111001
122173b69060
1310666097c1
147667686c8
15446b9e200
hex29060d708

11012200200 has 144 divisors (see below), whose sum is σ = 37016678400. Its totient is φ = 2933884800.

The previous prime is 11012200183. The next prime is 11012200217. The reversal of 11012200200 is 200221011.

It is an interprime number because it is at equal distance from previous prime (11012200183) and next prime (11012200217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2645721 + ... + 2649879.

Almost surely, 211012200200 is an apocalyptic number.

11012200200 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 11012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508339200).

11012200200 is an abundant number, since it is smaller than the sum of its proper divisors (26004478200).

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

11012200200 is a wasteful number, since it uses less digits than its factorization.

11012200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11012200200 its reverse (200221011), we get a palindrome (11212421211).

The spelling of 11012200200 in words is "eleven billion, twelve million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1471 1800 2942 4159 4413 5884 7355 8318 8826 11768 12477 13239 14710 16636 17652 20795 22065 24954 26478 29420 33272 35304 36775 37431 41590 44130 49908 52956 58840 62385 66195 73550 74862 83180 88260 99816 103975 105912 110325 124770 132390 147100 149724 166360 176520 187155 207950 220650 249540 264780 294200 299448 311925 330975 374310 415900 441300 499080 529560 623850 661950 748620 831800 882600 935775 1247700 1323900 1497240 1871550 2495400 2647800 3743100 6117889 7486200 12235778 18353667 24471556 30589445 36707334 48943112 55061001 61178890 73414668 91768335 110122002 122357780 146829336 152947225 183536670 220244004 244715560 275305005 305894450 367073340 440488008 458841675 550610010 611788900 734146680 917683350 1101220020 1223577800 1376525025 1835366700 2202440040 2753050050 3670733400 5506100100 11012200200