Search a number
-
+
11220221210000 = 245411173589607
BaseRepresentation
bin1010001101000110100101…
…0011001010110110010000
31110201122100111201021010112
42203101221103022312100
52432313003112210000
635510255400220452
72235430353450335
oct243215123126620
943648314637115
1011220221210000
1136365183a9510
12131267946a728
136350a6bc023a
142ab0c108298c
15146ce4ee3235
hexa34694cad90

11220221210000 has 200 divisors, whose sum is σ = 29806198513344. Its totient is φ = 4056489280000.

The previous prime is 11220221209957. The next prime is 11220221210047. The reversal of 11220221210000 is 1212202211.

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

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, 18735197 + ... + 19324803.

Almost surely, 211220221210000 is an apocalyptic number.

11220221210000 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 11220221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903099256672).

11220221210000 is an abundant number, since it is smaller than the sum of its proper divisors (18585977303344).

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

11220221210000 is a wasteful number, since it uses less digits than its factorization.

11220221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589819 (or 589798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220221210000 its reverse (1212202211), we get a palindrome (11221433412211).

The spelling of 11220221210000 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-one million, two hundred ten thousand".