Search a number
-
+
11203331100000 = 25355132220973
BaseRepresentation
bin1010001100000111101010…
…0100100000110101100000
31110200000202101222202221220
42203001322210200311200
52432023410230200000
635454423402415040
72234261663052204
oct243017244406540
943600671882856
1011203331100000
11362a340376916
12130b344b01480
136336148c4100
142aa35bc0ab04
151466572c61a0
hexa307a920d60

11203331100000 has 432 divisors, whose sum is σ = 39803846859504. Its totient is φ = 2757730560000.

The previous prime is 11203331099999. The next prime is 11203331100079. The reversal of 11203331100000 is 113330211.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50589514 + ... + 50810486.

It is an arithmetic number, because the mean of its divisors is an integer number (92138534397).

Almost surely, 211203331100000 is an apocalyptic number.

11203331100000 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 11203331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901923429752).

11203331100000 is an abundant number, since it is smaller than the sum of its proper divisors (28600515759504).

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

11203331100000 is an equidigital number, since it uses as much as digits as its factorization.

11203331100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221037 (or 220996 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11203331100000 its reverse (113330211), we get a palindrome (11203444430211).

The spelling of 11203331100000 in words is "eleven trillion, two hundred three billion, three hundred thirty-one million, one hundred thousand".