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11001012020200 = 2352229427156239
BaseRepresentation
bin1010000000010101111101…
…1010011110001111101000
31102221200112102221122001001
42200011133122132033220
52420220033034121300
635221443430404344
72213540222206456
oct240053732361750
942850472848031
1011001012020200
113561559542744
1212980a08006b4
1361a510cac487
142a0647b319d6
1514126546216a
hexa015f69e3e8

11001012020200 has 96 divisors (see below), whose sum is σ = 25695516096000. Its totient is φ = 4380085382400.

The previous prime is 11001012020177. The next prime is 11001012020213. The reversal of 11001012020200 is 202021010011.

11001012020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 195583681 + ... + 195639919.

It is an arithmetic number, because the mean of its divisors is an integer number (267661626000).

Almost surely, 211001012020200 is an apocalyptic number.

11001012020200 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 11001012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847758048000).

11001012020200 is an abundant number, since it is smaller than the sum of its proper divisors (14694504075800).

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

11001012020200 is a wasteful number, since it uses less digits than its factorization.

11001012020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60755 (or 60746 counting only the distinct ones).

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

Adding to 11001012020200 its reverse (202021010011), we get a palindrome (11203033030211).

The spelling of 11001012020200 in words is "eleven trillion, one billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 4271 4580 5725 8542 9160 11450 17084 21355 22900 34168 42710 45800 56239 85420 106775 112478 170840 213550 224956 281195 427100 449912 562390 854200 978059 1124780 1405975 1956118 2249560 2811950 3912236 4890295 5623900 7824472 9780590 11247800 12878731 19561180 24451475 25757462 39122360 48902950 51514924 64393655 97805900 103029848 128787310 195611800 240196769 257574620 321968275 480393538 515149240 643936550 960787076 1200983845 1287873100 1921574152 2401967690 2575746200 4803935380 6004919225 9607870760 12009838450 24019676900 48039353800 55005060101 110010120202 220020240404 275025300505 440040480808 550050601010 1100101202020 1375126502525 2200202404040 2750253005050 5500506010100 11001012020200