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11223103320 = 233251121319819
BaseRepresentation
bin10100111001111001…
…01111011101011000
31001222011020201110100
422130330233131120
5140441103301240
65053354015400
7545055542562
oct123474573530
931864221410
1011223103320
11483a170700
122212717560
13109b210750
14786788332
1545a45de30
hex29cf2f758

11223103320 has 288 divisors, whose sum is σ = 43178662800. Its totient is φ = 2511336960.

The previous prime is 11223103319. The next prime is 11223103343. The reversal of 11223103320 is 2330132211.

11223103320 is a `hidden beast` number, since 1 + 1 + 22 + 310 + 332 + 0 = 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 = 11223103293 and 11223103302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 556371 + ... + 576189.

Almost surely, 211223103320 is an apocalyptic number.

11223103320 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 11223103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21589331400).

11223103320 is an abundant number, since it is smaller than the sum of its proper divisors (31955559480).

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

11223103320 is a wasteful number, since it uses less digits than its factorization.

11223103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19871 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11223103320 its reverse (2330132211), we get a palindrome (13553235531).

The spelling of 11223103320 in words is "eleven billion, two hundred twenty-three million, one hundred three thousand, three hundred twenty".