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11001100110200 = 23524631039114343
BaseRepresentation
bin1010000000010110010010…
…1010100000100101111000
31102221200202120201001210122
42200011210222200211320
52420220223112011300
635221500254432412
72213542342025564
oct240054452404570
942850676631718
1011001100110200
1135615a4239aa2
121298106202708
1361a526312c35
142a06557026a4
1514126d062c85
hexa0164aa0978

11001100110200 has 96 divisors (see below), whose sum is σ = 25657695897600. Its totient is φ = 4386671372160.

The previous prime is 11001100110163. The next prime is 11001100110233. The reversal of 11001100110200 is 201100110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 96154229 + ... + 96268571.

It is an arithmetic number, because the mean of its divisors is an integer number (267267665600).

Almost surely, 211001100110200 is an apocalyptic number.

11001100110200 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 11001100110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828847948800).

11001100110200 is an abundant number, since it is smaller than the sum of its proper divisors (14656595787400).

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

11001100110200 is a wasteful number, since it uses less digits than its factorization.

11001100110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115861 (or 115852 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001100110200 its reverse (201100110011), we get a palindrome (11202200220211).

The spelling of 11001100110200 in words is "eleven trillion, one billion, one hundred million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 463 926 1039 1852 2078 2315 3704 4156 4630 5195 8312 9260 10390 11575 18520 20780 23150 25975 41560 46300 51950 92600 103900 114343 207800 228686 457372 481057 571715 914744 962114 1143430 1924228 2286860 2405285 2858575 3848456 4573720 4810570 5717150 9621140 11434300 12026425 19242280 22868600 24052850 48105700 52940809 96211400 105881618 118802377 211763236 237604754 264704045 423526472 475209508 529408090 594011885 950419016 1058816180 1188023770 1323520225 2117632360 2376047540 2647040450 2970059425 4752095080 5294080900 5940118850 10588161800 11880237700 23760475400 55005500551 110011001102 220022002204 275027502755 440044004408 550055005510 1100110011020 1375137513775 2200220022040 2750275027550 5500550055100 11001100110200