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12330020304 = 24327173719447
BaseRepresentation
bin10110111101110110…
…10010110111010000
31011211022002221002200
423132323102313100
5200222441122204
65355255043200
7614356305030
oct133673226720
934738087080
1012330020304
115257a7a828
122481370500
131216643904
1484d7a78c0
154c270e539
hex2deed2dd0

12330020304 has 240 divisors, whose sum is σ = 42887040768. Its totient is φ = 3225858048.

The previous prime is 12330020293. The next prime is 12330020327. The reversal of 12330020304 is 40302003321.

12330020304 is a `hidden beast` number, since 12 + 330 + 0 + 20 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624309 + ... + 643755.

Almost surely, 212330020304 is an apocalyptic number.

12330020304 is a gapful number since it is divisible by the number (14) 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 12330020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443520384).

12330020304 is an abundant number, since it is smaller than the sum of its proper divisors (30557020464).

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

12330020304 is a wasteful number, since it uses less digits than its factorization.

12330020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19522 (or 19513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12330020304 its reverse (40302003321), we get a palindrome (52632023625).

The spelling of 12330020304 in words is "twelve billion, three hundred thirty million, twenty thousand, three hundred four".