Search a number
-
+
11120330211000 = 2335325603144779
BaseRepresentation
bin1010000111010010011101…
…0101001111111010111000
31110101002111221011202010220
42201310213111033322320
52424143414013223000
635352335325340040
72225263102123113
oct241644725177270
943332457152126
1011120330211000
1135a811855248a
1212b7240107620
13628847b5623a
142a63266b757a
151443ea63a1a0
hexa1d2754feb8

11120330211000 has 128 divisors (see below), whose sum is σ = 34697025043200. Its totient is φ = 2965285084800.

The previous prime is 11120330210993. The next prime is 11120330211013. The reversal of 11120330211000 is 11203302111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76736611 + ... + 76881389.

It is an arithmetic number, because the mean of its divisors is an integer number (271070508150).

Almost surely, 211120330211000 is an apocalyptic number.

11120330211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120330211000 is an abundant number, since it is smaller than the sum of its proper divisors (23576694832200).

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

11120330211000 is a wasteful number, since it uses less digits than its factorization.

11120330211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170406 (or 170392 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11120330211000 its reverse (11203302111), we get a palindrome (11131533513111).

The spelling of 11120330211000 in words is "eleven trillion, one hundred twenty billion, three hundred thirty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 25603 51206 76809 102412 128015 144779 153618 204824 256030 289558 307236 384045 434337 512060 579116 614472 640075 723895 768090 868674 1024120 1158232 1280150 1447790 1536180 1737348 1920225 2171685 2560300 2895580 3072360 3200375 3474696 3619475 3840450 4343370 5120600 5791160 6400750 7238950 7680900 8686740 9601125 10858425 12801500 14477900 15361800 17373480 18097375 19202250 21716850 25603000 28955800 36194750 38404500 43433700 54292125 72389500 76809000 86867400 108584250 144779000 217168500 434337000 3706776737 7413553474 11120330211 14827106948 18533883685 22240660422 29654213896 37067767370 44481320844 55601651055 74135534740 88962641688 92669418425 111203302110 148271069480 185338836850 222406604220 278008255275 370677673700 444813208440 463347092125 556016510550 741355347400 926694184250 1112033021100 1390041276375 1853388368500 2224066042200 2780082552750 3706776737000 5560165105500 11120330211000