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12243100320 = 2533511318311
BaseRepresentation
bin10110110011011111…
…01110001010100000
31011121020112221022000
423121233232022200
5200033213202240
65342512044000
7612252431013
oct133157561240
934536487260
1012243100320
115212a02530
122458233600
13120162c879
1484201d37a
154b9c90430
hex2d9bee2a0

12243100320 has 384 divisors, whose sum is σ = 48260136960. Its totient is φ = 2871936000.

The previous prime is 12243100291. The next prime is 12243100327. The reversal of 12243100320 is 2300134221.

12243100320 is a `hidden beast` number, since 1 + 2 + 243 + 100 + 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 = 12243100293 and 12243100302.

It is not an unprimeable number, because it can be changed into a prime (12243100327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1468965 + ... + 1477275.

It is an arithmetic number, because the mean of its divisors is an integer number (125677440).

Almost surely, 212243100320 is an apocalyptic number.

12243100320 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 12243100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130068480).

12243100320 is an abundant number, since it is smaller than the sum of its proper divisors (36017036640).

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

12243100320 is a wasteful number, since it uses less digits than its factorization.

12243100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12243100320 its reverse (2300134221), we get a palindrome (14543234541).

The spelling of 12243100320 in words is "twelve billion, two hundred forty-three million, one hundred thousand, three hundred twenty".