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11220442380 = 223557353127
BaseRepresentation
bin10100111001100101…
…00101110100001100
31001221222020112100000
422130302211310030
5140434413124010
65053221004300
7545024121000
oct123462456414
931858215300
1011220442380
114838713484
122211853690
13109a7bb524
14786294700
1545a0d57c0
hex29cca5d0c

11220442380 has 576 divisors, whose sum is σ = 42268262400. Its totient is φ = 2496469248.

The previous prime is 11220442369. The next prime is 11220442417. The reversal of 11220442380 is 8324402211.

11220442380 is a `hidden beast` number, since 11 + 220 + 4 + 423 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88349877 + ... + 88350003.

It is an arithmetic number, because the mean of its divisors is an integer number (73382400).

Almost surely, 211220442380 is an apocalyptic number.

11220442380 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 11220442380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134131200).

11220442380 is an abundant number, since it is smaller than the sum of its proper divisors (31047820020).

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

11220442380 is a wasteful number, since it uses less digits than its factorization.

11220442380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11220442380 its reverse (8324402211), we get a palindrome (19544844591).

The spelling of 11220442380 in words is "eleven billion, two hundred twenty million, four hundred forty-two thousand, three hundred eighty".