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12334300420 = 2251347439617
BaseRepresentation
bin10110111110010111…
…00111110100000100
31011211121011101022111
423133023213310010
5200230040103140
65355530510404
7614440552351
oct133713476404
934747141274
1012334300420
11525a433512
122482895404
1312174b1b20
1485019d628
154c2ca77ea
hex2df2e7d04

12334300420 has 24 divisors (see below), whose sum is σ = 27894495384. Its totient is φ = 4554203136.

The previous prime is 12334300417. The next prime is 12334300423. The reversal of 12334300420 is 2400343321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12334300417) and next prime (12334300423).

It can be written as a sum of positive squares in 4 ways, for example, as 388247616 + 11946052804 = 19704^2 + 109298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12334300391 and 12334300400.

It is not an unprimeable number, because it can be changed into a prime (12334300423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23719549 + ... + 23720068.

It is an arithmetic number, because the mean of its divisors is an integer number (1162270641).

Almost surely, 212334300420 is an apocalyptic number.

12334300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334300420 is an abundant number, since it is smaller than the sum of its proper divisors (15560194964).

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

12334300420 is a wasteful number, since it uses less digits than its factorization.

12334300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47439639 (or 47439637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12334300420 its reverse (2400343321), we get a palindrome (14734643741).

The spelling of 12334300420 in words is "twelve billion, three hundred thirty-four million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 47439617 94879234 189758468 237198085 474396170 616715021 948792340 1233430042 2466860084 3083575105 6167150210 12334300420