Search a number
-
+
11320302211020 = 22345112173397103
BaseRepresentation
bin1010010010111011011010…
…0101111000111111001100
31111002012200022202212220000
42210232312211320333030
52440432434331223040
640024250335324300
72245602433101405
oct244566645707714
944065608685800
1011320302211020
113674a05529900
121329b4a380690
1364166642087a
142b1c96b8a9ac
151497013cd130
hexa4bb6978fcc

11320302211020 has 360 divisors, whose sum is σ = 41330213572032. Its totient is φ = 2582884592640.

The previous prime is 11320302210923. The next prime is 11320302211021. The reversal of 11320302211020 is 2011220302311.

11320302211020 is a `hidden beast` number, since 1 + 1 + 320 + 302 + 21 + 1 + 0 + 20 = 666.

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 = 11320302210984 and 11320302211002.

It is not an unprimeable number, because it can be changed into a prime (11320302211021) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1633789 + ... + 5030891.

Almost surely, 211320302211020 is an apocalyptic number.

11320302211020 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 11320302211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665106786016).

11320302211020 is an abundant number, since it is smaller than the sum of its proper divisors (30009911361012).

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

11320302211020 is a wasteful number, since it uses less digits than its factorization.

11320302211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397163 (or 3397141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11320302211020 its reverse (2011220302311), we get a palindrome (13331522513331).

The spelling of 11320302211020 in words is "eleven trillion, three hundred twenty billion, three hundred two million, two hundred eleven thousand, twenty".