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12302324443431 = 3311170924237547
BaseRepresentation
bin1011001100000101101110…
…1011011010100100100111
31121120002110010212002111000
42303001123223122210213
53103030130024142211
642055335420044343
72406546032253021
oct263013353324447
947502403762430
1012302324443431
113a13428477930
1214683336936b3
136b3147c713b9
14307615713011
151650296cd656
hexb305bada927

12302324443431 has 32 divisors (see below), whose sum is σ = 19894179398400. Its totient is φ = 7451591142240.

The previous prime is 12302324443411. The next prime is 12302324443471. The reversal of 12302324443431 is 13434442320321.

12302324443431 is a `hidden beast` number, since 1 + 2 + 302 + 3 + 2 + 4 + 4 + 4 + 343 + 1 = 666.

It is not a de Polignac number, because 12302324443431 - 225 = 12302290888999 is a prime.

It is a super-2 number, since 2×123023244434312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302324443411) 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 31 ways as a sum of consecutive naturals, for example, 11611201 + ... + 12626346.

It is an arithmetic number, because the mean of its divisors is an integer number (621693106200).

Almost surely, 212302324443431 is an apocalyptic number.

12302324443431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12302324443431 is a deficient number, since it is larger than the sum of its proper divisors (7591854954969).

12302324443431 is a wasteful number, since it uses less digits than its factorization.

12302324443431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24239276 (or 24239270 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12302324443431 its reverse (13434442320321), we get a palindrome (25736766763752).

The spelling of 12302324443431 in words is "twelve trillion, three hundred two billion, three hundred twenty-four million, four hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 1709 5127 15381 18799 46143 56397 169191 507573 24237547 72712641 218137923 266613017 654413769 799839051 2399517153 7198551459 41421967823 124265903469 372797710407 455641646053 1118393131221 1366924938159 4100774814477 12302324443431