Search a number
-
+
12003101130000 = 243541747122901
BaseRepresentation
bin1010111010101011000010…
…0101000011110100010000
31120111111002202101211102010
42232222300211003310100
53033124322342130000
641310052030022520
72346124015124601
oct256526045036420
946444082354363
1012003101130000
113908539738762
12141a346347a40
13690b70022056
142d6d4b7cbda8
1515c3652ddd50
hexaeab0943d10

12003101130000 has 200 divisors, whose sum is σ = 38751520743936. Its totient is φ = 3200504000000.

The previous prime is 12003101129993. The next prime is 12003101130011. The reversal of 12003101130000 is 3110130021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524118550 + ... + 524141450.

Almost surely, 212003101130000 is an apocalyptic number.

12003101130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003101130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375760371968).

12003101130000 is an abundant number, since it is smaller than the sum of its proper divisors (26748419613936).

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

12003101130000 is a wasteful number, since it uses less digits than its factorization.

12003101130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40403 (or 40382 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12003101130000 its reverse (3110130021), we get a palindrome (12006211260021).

The spelling of 12003101130000 in words is "twelve trillion, three billion, one hundred one million, one hundred thirty thousand".