Search a number
-
+
12002330202030 = 2325719051317781
BaseRepresentation
bin1010111010101000001010…
…1000001100111110101110
31120111102010000202122001100
42232222002220030332232
53033121233012431110
641305443330223530
72346065634263310
oct256520250147656
946442100678040
1012002330202030
113908183554103
12141a170124ba6
13690a793aa95c
142d6cb726d7b0
1515c31c7aabc0
hexaea82a0cfae

12002330202030 has 48 divisors (see below), whose sum is σ = 35664066887904. Its totient is φ = 2743389760320.

The previous prime is 12002330202029. The next prime is 12002330202097. The reversal of 12002330202030 is 3020203320021.

It is a happy number.

12002330202030 is a `hidden beast` number, since 1 + 200 + 233 + 0 + 202 + 0 + 30 = 666.

12002330202030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120023302020302 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002330201994 and 12002330202012.

It is a congruent number.

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, 9525658261 + ... + 9525659520.

It is an arithmetic number, because the mean of its divisors is an integer number (743001393498).

Almost surely, 212002330202030 is an apocalyptic number.

12002330202030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002330202030 is an abundant number, since it is smaller than the sum of its proper divisors (23661736685874).

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

12002330202030 is a wasteful number, since it uses less digits than its factorization.

12002330202030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19051317801 (or 19051317798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12002330202030 its reverse (3020203320021), we get a palindrome (15022533522051).

The spelling of 12002330202030 in words is "twelve trillion, two billion, three hundred thirty million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19051317781 38102635562 57153953343 95256588905 114307906686 133359224467 171461860029 190513177810 266718448934 285769766715 342923720058 400077673401 571539533430 666796122335 800155346802 857309300145 1200233020203 1333592244670 1714618600290 2000388367005 2400466040406 4000776734010 6001165101015 12002330202030