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11220112003320 = 233251137487157243
BaseRepresentation
bin1010001101000110001011…
…0010100101000011111000
31110201122001220012222201200
42203101202302211003320
52432312242133101240
635510240455414200
72235424556301453
oct243214262450370
943648056188650
1011220112003320
113636471799960
121312648984360
1363508a3a4cbc
142ab0b077649a
15146cda620930
hexa3462ca50f8

11220112003320 has 384 divisors, whose sum is σ = 40939695613440. Its totient is φ = 2641061790720.

The previous prime is 11220112003313. The next prime is 11220112003363. The reversal of 11220112003320 is 2330021102211.

11220112003320 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 120 + 0 + 3 + 320 = 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 = 11220112003293 and 11220112003302.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 71276619 + ... + 71433861.

It is an arithmetic number, because the mean of its divisors is an integer number (106613790660).

Almost surely, 211220112003320 is an apocalyptic number.

11220112003320 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 11220112003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469847806720).

11220112003320 is an abundant number, since it is smaller than the sum of its proper divisors (29719583610120).

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

11220112003320 is a wasteful number, since it uses less digits than its factorization.

11220112003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157795 (or 157788 counting only the distinct ones).

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

Adding to 11220112003320 its reverse (2330021102211), we get a palindrome (13550133105531).

The spelling of 11220112003320 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, three thousand, three hundred twenty".