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12322431324 = 2232783589139
BaseRepresentation
bin10110111100111100…
…10110000101011100
31011210202211100222100
423132132112011130
5200214020300244
65354424245100
7614234636520
oct133636260534
934722740870
1012322431324
115253767045
12247a910790
131214bb75a8
1484c78dd80
154c1c10b69
hex2de79615c

12322431324 has 72 divisors (see below), whose sum is σ = 36027089280. Its totient is φ = 3478270752.

The previous prime is 12322431299. The next prime is 12322431347. The reversal of 12322431324 is 42313422321.

12322431324 is a `hidden beast` number, since 1 + 2 + 322 + 4 + 313 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273654 + ... + 315485.

It is an arithmetic number, because the mean of its divisors is an integer number (500376240).

Almost surely, 212322431324 is an apocalyptic number.

12322431324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12322431324 is an abundant number, since it is smaller than the sum of its proper divisors (23704657956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12322431324 is a wasteful number, since it uses less digits than its factorization.

12322431324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589239 (or 589234 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12322431324 its reverse (42313422321), we get a palindrome (54635853645).

The spelling of 12322431324 in words is "twelve billion, three hundred twenty-two million, four hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 10458 20916 589139 1178278 1767417 2356556 3534834 4123973 5302251 7069668 8247946 10604502 12371919 16495892 21209004 24743838 37115757 48898537 49487676 74231514 97797074 146695611 148463028 195594148 293391222 342289759 440086833 586782444 684579518 880173666 1026869277 1369159036 1760347332 2053738554 3080607831 4107477108 6161215662 12322431324