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12324311000 = 2353116310597
BaseRepresentation
bin10110111101001011…
…00000111111011000
31011210220100212101222
423132211200333120
5200220010423000
65354532431212
7614256625601
oct133645407730
934726325358
1012324311000
1152548302a1
12247b478508
1312153c5021
1484cb1cda8
154c1e82a85
hex2de960fd8

12324311000 has 64 divisors (see below), whose sum is σ = 28866408480. Its totient is φ = 4925020800.

The previous prime is 12324310997. The next prime is 12324311011. The reversal of 12324311000 is 11342321.

It is a self number, because there is not a number n which added to its sum of digits gives 12324311000.

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 15 ways as a sum of consecutive naturals, for example, 1157702 + ... + 1168298.

Almost surely, 212324311000 is an apocalyptic number.

12324311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433204240).

12324311000 is an abundant number, since it is smaller than the sum of its proper divisors (16542097480).

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

12324311000 is a wasteful number, since it uses less digits than its factorization.

12324311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11781 (or 11767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12324311000 its reverse (11342321), we get a palindrome (12335653321).

The spelling of 12324311000 in words is "twelve billion, three hundred twenty-four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1163 2326 4652 5815 9304 10597 11630 21194 23260 29075 42388 46520 52985 58150 84776 105970 116300 145375 211940 232600 264925 290750 423880 529850 581500 1059700 1163000 1324625 2119400 2649250 5298500 10597000 12324311 24648622 49297244 61621555 98594488 123243110 246486220 308107775 492972440 616215550 1232431100 1540538875 2464862200 3081077750 6162155500 12324311000