Search a number
-
+
121310103012300 = 223252413287536667
BaseRepresentation
bin11011100101010010110101…
…100110010000001111001100
3120220112010120122201200121100
4123211102311212100033030
5111400021042332343200
61110001031511103100
734360236304100106
oct3345226546201714
9526463518650540
10121310103012300
113572036466a044
1211732864071a90
13528c65566b1a7
1421d5624314576
15e0584a4d5d00
hex6e54b59903cc

121310103012300 has 108 divisors (see below), whose sum is σ = 389513919497976. Its totient is φ = 31560351993600.

The previous prime is 121310103012227. The next prime is 121310103012419. The reversal of 121310103012300 is 3210301013121.

121310103012300 is a `hidden beast` number, since 1 + 2 + 1 + 310 + 10 + 30 + 12 + 300 = 666.

121310103012300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1213101030123002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 1643731434 + ... + 1643805233.

It is an arithmetic number, because the mean of its divisors is an integer number (3606610365722).

Almost surely, 2121310103012300 is an apocalyptic number.

121310103012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121310103012300 is an abundant number, since it is smaller than the sum of its proper divisors (268203816485676).

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

121310103012300 is a wasteful number, since it uses less digits than its factorization.

121310103012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287536728 (or 3287536718 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121310103012300 its reverse (3210301013121), we get a palindrome (124520404025421).

The spelling of 121310103012300 in words is "one hundred twenty-one trillion, three hundred ten billion, one hundred three million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 3287536667 6575073334 9862610001 13150146668 16437683335 19725220002 29587830003 32875366670 39450440004 49313050005 59175660006 65750733340 82188416675 98626100010 118351320012 134789003347 147939150015 164376833350 197252200020 246565250025 269578006694 295878300030 328753666700 404367010041 493130500050 539156013388 591756600060 673945016735 739695750075 808734020082 986261000100 1213101030123 1347890033470 1479391500150 1617468040164 2021835050205 2426202060246 2695780066940 2958783000300 3369725083675 4043670100410 4852404120492 6065505150615 6739450167350 8087340200820 10109175251025 12131010301230 13478900334700 20218350502050 24262020602460 30327525753075 40436701004100 60655051506150 121310103012300