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12443402100417 = 3337122310063789
BaseRepresentation
bin1011010100010011010010…
…0011111101111011000001
31122001120121002100121200220
42311010310203331323001
53112333041414203132
642244230415533253
72423002050460311
oct265046443757301
948046532317626
1012443402100417
113a682430a5682
12148b74622a229
136c353bb90342
1431039a105441
15168a34d20a2c
hexb51348fdec1

12443402100417 has 16 divisors (see below), whose sum is σ = 16654042753920. Its totient is φ = 8264221684992.

The previous prime is 12443402100391. The next prime is 12443402100419. The reversal of 12443402100417 is 71400120434421.

It is a happy number.

It is not a de Polignac number, because 12443402100417 - 28 = 12443402100161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12443402100419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795442 + ... + 6268347.

It is an arithmetic number, because the mean of its divisors is an integer number (1040877672120).

Almost surely, 212443402100417 is an apocalyptic number.

It is an amenable number.

12443402100417 is a deficient number, since it is larger than the sum of its proper divisors (4210640653503).

12443402100417 is a wasteful number, since it uses less digits than its factorization.

12443402100417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065352.

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 12443402100417 its reverse (71400120434421), we get a palindrome (83843522534838).

The spelling of 12443402100417 in words is "twelve trillion, four hundred forty-three billion, four hundred two million, one hundred thousand, four hundred seventeen".

Divisors: 1 3 337 1011 1223 3669 412151 1236453 10063789 30191367 3391496893 10174490679 12308013947 36924041841 4147800700139 12443402100417