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12443334211305 = 325299535122001
BaseRepresentation
bin1011010100010011000010…
…0000111111011011101001
31122001120102100121111100100
42311010300200333123221
53112332422024230210
642244215552500013
72423000264435004
oct265046040773351
948046370544310
1012443334211305
113a68208846578
12148b72754a609
136c352aab057a
143103910b253b
15168a2ddb05c0
hexb513083f6e9

12443334211305 has 24 divisors (see below), whose sum is σ = 22312185484680. Its totient is φ = 6407601984000.

The previous prime is 12443334211241. The next prime is 12443334211349. The reversal of 12443334211305 is 50311243334421.

12443334211305 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 3 + 3 + 342 + 1 + 1 + 305 = 666.

12443334211305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24666587136 + 12418667624169 = 157056^2 + 3524013^2 .

It is not a de Polignac number, because 12443334211305 - 26 = 12443334211241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12443334211305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4767559696 + ... + 4767562305.

It is an arithmetic number, because the mean of its divisors is an integer number (929674395195).

Almost surely, 212443334211305 is an apocalyptic number.

12443334211305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12443334211305 is a deficient number, since it is larger than the sum of its proper divisors (9868851273375).

12443334211305 is a wasteful number, since it uses less digits than its factorization.

12443334211305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535122041 (or 9535122038 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12443334211305 its reverse (50311243334421), we get a palindrome (62754577545726).

The spelling of 12443334211305 in words is "twelve trillion, four hundred forty-three billion, three hundred thirty-four million, two hundred eleven thousand, three hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 9535122001 28605366003 47675610005 85816098009 143026830015 276518538029 429080490045 829555614087 1382592690145 2488666842261 4147778070435 12443334211305