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11223201211020 = 223251937881100673
BaseRepresentation
bin1010001101010001101011…
…1010111110001010001100
31110201221001012010000000200
42203110122322332022030
52432340104002223040
635511511212053500
72235564250160061
oct243243272761214
943657035100020
1011223201211020
11363780754a377
12131316b464290
136354603c1956
142ab2c4b60c68
15146e1b936630
hexa351aebe28c

11223201211020 has 288 divisors, whose sum is σ = 36846152441280. Its totient is φ = 2755545661440.

The previous prime is 11223201211007. The next prime is 11223201211021. The reversal of 11223201211020 is 2011210232211.

11223201211020 is a `hidden beast` number, since 1 + 122 + 320 + 121 + 102 + 0 = 666.

11223201211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11223201210984 and 11223201211002.

It is not an unprimeable number, because it can be changed into a prime (11223201211021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111431404 + ... + 111532076.

It is an arithmetic number, because the mean of its divisors is an integer number (127938029310).

Almost surely, 211223201211020 is an apocalyptic number.

11223201211020 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 11223201211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423076220640).

11223201211020 is an abundant number, since it is smaller than the sum of its proper divisors (25622951230260).

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

11223201211020 is a wasteful number, since it uses less digits than its factorization.

11223201211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101625 (or 101620 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11223201211020 its reverse (2011210232211), we get a palindrome (13234411443231).

The spelling of 11223201211020 in words is "eleven trillion, two hundred twenty-three billion, two hundred one million, two hundred eleven thousand, twenty".