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12324314013143 = 1131683101352237
BaseRepresentation
bin1011001101010111101001…
…0110111101110111010111
31121122012012122002222021212
42303111322112331313113
53103410143341410033
642113413420532035
72411254663440506
oct263257226756727
947565178088255
1012324314013143
113a21791a6a040
12147064b9b101b
136b52408b0a02
143086ddd3a83d
151658b4e4b748
hexb357a5bddd7

12324314013143 has 32 divisors (see below), whose sum is σ = 13912712865792. Its totient is φ = 10815735427200.

The previous prime is 12324314013133. The next prime is 12324314013181. The reversal of 12324314013143 is 34131041342321.

It is a de Polignac number, because none of the positive numbers 2k-12324314013143 is a prime.

It is a super-3 number, since 3×123243140131433 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324314013113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235904621 + ... + 235956857.

It is an arithmetic number, because the mean of its divisors is an integer number (434772277056).

Almost surely, 212324314013143 is an apocalyptic number.

12324314013143 is a deficient number, since it is larger than the sum of its proper divisors (1588398852649).

12324314013143 is a wasteful number, since it uses less digits than its factorization.

12324314013143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53975.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 12324314013143 its reverse (34131041342321), we get a palindrome (46455355355464).

The spelling of 12324314013143 in words is "twelve trillion, three hundred twenty-four billion, three hundred fourteen million, thirteen thousand, one hundred forty-three".

Divisors: 1 11 31 341 683 1013 7513 11143 21173 31403 52237 232903 345433 574607 691879 1619347 7610669 17812817 21448249 35677871 52916081 235930739 392456581 582076891 1106014001 1640398511 12166154011 18044383621 36141683323 397558516553 1120392183013 12324314013143