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12283067241 = 32369432
BaseRepresentation
bin10110111000010000…
…01011101101101001
31011201000202110121100
423130020023231221
5200123431122431
65350500432013
7613246230444
oct133410135551
934630673540
1012283067241
115233520245
1224696a8609
1312099b4333
1484746465b
154bd5374e6
hex2dc20bb69

12283067241 has 9 divisors (see below), whose sum is σ = 17742688509. Its totient is φ = 8188489836.

The previous prime is 12283067233. The next prime is 12283067243. The reversal of 12283067241 is 14276038221.

It is a happy number.

The square root of 12283067241 is 110829.

It is a perfect power (a square), and thus also a powerful number.

12283067241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12283067241 - 23 = 12283067233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12283067196 and 12283067205.

It is not an unprimeable number, because it can be changed into a prime (12283067243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314016 + ... + 350958.

Almost surely, 212283067241 is an apocalyptic number.

12283067241 is the 110829-th square number.

12283067241 is the 55415-th centered octagonal number.

It is an amenable number.

12283067241 is a deficient number, since it is larger than the sum of its proper divisors (5459621268).

12283067241 is an frugal number, since it uses more digits than its factorization.

12283067241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73892 (or 36946 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 12283067241 by its sum of digits (36), we get a square (442190420676 = 6649742).

The spelling of 12283067241 in words is "twelve billion, two hundred eighty-three million, sixty-seven thousand, two hundred forty-one".

Divisors: 1 3 9 36943 110829 332487 1364785249 4094355747 12283067241