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11330011243100 = 225211101910107959
BaseRepresentation
bin1010010011011111100101…
…0010111010001001011100
31111010010201222000211001202
42210313321102322021130
52441112330334234400
640032534005455032
72246365145362364
oct244677122721134
944103658024052
1011330011243100
113679037a79360
12132b9b9a11478
13642552a53374
142b253840b9a4
15149abd9634d5
hexa4df94ba25c

11330011243100 has 72 divisors (see below), whose sum is σ = 26847550396800. Its totient is φ = 4115960497600.

The previous prime is 11330011243097. The next prime is 11330011243139. The reversal of 11330011243100 is 134211003311.

It is a super-2 number, since 2×113300112431002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3933080 + ... + 6174879.

It is an arithmetic number, because the mean of its divisors is an integer number (372882644400).

Almost surely, 211330011243100 is an apocalyptic number.

11330011243100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330011243100 is an abundant number, since it is smaller than the sum of its proper divisors (15517539153700).

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

11330011243100 is a wasteful number, since it uses less digits than its factorization.

11330011243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109003 (or 10108996 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11330011243100 its reverse (134211003311), we get a palindrome (11464222246411).

The spelling of 11330011243100 in words is "eleven trillion, three hundred thirty billion, eleven million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1019 1100 2038 4076 5095 10190 11209 20380 22418 25475 44836 50950 56045 101900 112090 224180 280225 560450 1120900 10107959 20215918 40431836 50539795 101079590 111187549 202159180 222375098 252698975 444750196 505397950 555937745 1010795900 1111875490 2223750980 2779688725 5559377450 10300010221 11118754900 20600020442 41200040884 51500051105 103000102210 113300112431 206000204420 226600224862 257500255525 453200449724 515000511050 566500562155 1030001022100 1133001124310 2266002248620 2832502810775 5665005621550 11330011243100