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12822107241 = 329541927197
BaseRepresentation
bin10111111000100000…
…11101010001101001
31020002121001112110210
423330100131101221
5202224424412431
65520154131333
7632513053566
oct137420352151
936077045423
1012822107241
11548a821a49
12259a120b49
131294588008
14898c9d86d
15500a12d46
hex2fc41d469

12822107241 has 16 divisors (see below), whose sum is σ = 17689579200. Its totient is φ = 8251483968.

The previous prime is 12822107159. The next prime is 12822107369. The reversal of 12822107241 is 14270122821.

12822107241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12822107241 - 27 = 12822107113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12822107199 and 12822107208.

It is not an unprimeable number, because it can be changed into a prime (12829107241) 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 15 ways as a sum of consecutive naturals, for example, 457855 + ... + 485051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105598700).

Almost surely, 212822107241 is an apocalyptic number.

It is an amenable number.

12822107241 is a deficient number, since it is larger than the sum of its proper divisors (4867471959).

12822107241 is a wasteful number, since it uses less digits than its factorization.

12822107241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32648.

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 12822107241 in words is "twelve billion, eight hundred twenty-two million, one hundred seven thousand, two hundred forty-one".

Divisors: 1 3 29 87 5419 16257 27197 81591 157151 471453 788713 2366139 147380543 442141629 4274035747 12822107241