Search a number
-
+
300011301221100 = 223527142862524391
BaseRepresentation
bin100010000110110111101001…
…1000010011011001011101100
31110100020210121102012002202120
41010031233103002123023230
5303310341121103033400
62542023142240352540
7120123046502326410
oct10415572302331354
91410223542162676
10300011301221100
1187658095296177
1229794249915750
13cb52c37866cb1
1454128a5716d40
1524a3eb0a9dca0
hex110dbd309b2ec

300011301221100 has 72 divisors (see below), whose sum is σ = 992037369378048. Its totient is φ = 68574011707200.

The previous prime is 300011301221087. The next prime is 300011301221171. The reversal of 300011301221100 is 1122103110003.

It is a happy number.

It is a super-3 number, since 3×3000113012211003 (a number of 44 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 300011301221100.

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, 71431260096 + ... + 71431264295.

Almost surely, 2300011301221100 is an apocalyptic number.

300011301221100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300011301221100 is an abundant number, since it is smaller than the sum of its proper divisors (692026068156948).

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

300011301221100 is a wasteful number, since it uses less digits than its factorization.

300011301221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142862524415 (or 142862524408 counting only the distinct ones).

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

Adding to 300011301221100 its reverse (1122103110003), we get a palindrome (301133404331103).

The spelling of 300011301221100 in words is "three hundred trillion, eleven billion, three hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 142862524391 285725048782 428587573173 571450097564 714312621955 857175146346 1000037670737 1428625243910 1714350292692 2000075341474 2142937865865 2857250487820 3000113012211 3571563109775 4000150682948 4285875731730 5000188353685 6000226024422 7143126219550 8571751463460 10000376707370 10714689329325 12000452048844 14286252439100 15000565061055 20000753414740 21429378658650 25000941768425 30001130122110 42858757317300 50001883536850 60002260244220 75002825305275 100003767073700 150005650610550 300011301221100