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12424300342421 = 1117633311049093
BaseRepresentation
bin1011010011001100001000…
…0000100010110010010101
31121222202021212000202211112
42310303002000202302111
53112024431341424141
642231351134544405
72421424513300622
oct264630200426225
947882255022745
1012424300342421
113a60130708120
121487ab5068105
136c17b6614b66
1430d4a723d349
151682b7d857eb
hexb4cc2022c95

12424300342421 has 16 divisors (see below), whose sum is σ = 14351303780928. Its totient is φ = 10630239417600.

The previous prime is 12424300342343. The next prime is 12424300342423.

It is a happy number.

12424300342421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12424300342421 - 226 = 12424233233557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424300342423) 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, 11318351 + ... + 12367443.

It is an arithmetic number, because the mean of its divisors is an integer number (896956486308).

Almost surely, 212424300342421 is an apocalyptic number.

12424300342421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12424300342421 is a deficient number, since it is larger than the sum of its proper divisors (1927003438507).

12424300342421 is a wasteful number, since it uses less digits than its factorization.

12424300342421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112452.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 12424300 and 342421, that added together give a palindrome (12766721).

The spelling of 12424300342421 in words is "twelve trillion, four hundred twenty-four billion, three hundred million, three hundred forty-two thousand, four hundred twenty-one".

Divisors: 1 11 17 187 63331 696641 1049093 1076627 11540023 11842897 17834581 196180391 66440108783 730841196613 1129481849311 12424300342421