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12324133000 = 235317724949
BaseRepresentation
bin10110111101001001…
…10101100010001000
31011210220000211020101
423132210311202020
5200214434224000
65354524535144
7614255254624
oct133644654210
934726024211
1012324133000
115254719593
12247b3b14b4
131215361cba
1484cab4184
154c1e49e6a
hex2de935888

12324133000 has 64 divisors (see below), whose sum is σ = 30534894000. Its totient is φ = 4639667200.

The previous prime is 12324132979. The next prime is 12324133013. The reversal of 12324133000 is 33142321.

It can be written as a sum of positive squares in 8 ways, for example, as 1430201124 + 10893931876 = 37818^2 + 104374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345475 + ... + 379474.

Almost surely, 212324133000 is an apocalyptic number.

12324133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324133000 is an abundant number, since it is smaller than the sum of its proper divisors (18210761000).

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

12324133000 is a wasteful number, since it uses less digits than its factorization.

12324133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724987 (or 724973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12324133000 its reverse (33142321), we get a palindrome (12357275321).

The spelling of 12324133000 in words is "twelve billion, three hundred twenty-four million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 724949 1449898 2899796 3624745 5799592 7249490 12324133 14498980 18123725 24648266 28997960 36247450 49296532 61620665 72494900 90618625 98593064 123241330 144989800 181237250 246482660 308103325 362474500 492965320 616206650 724949000 1232413300 1540516625 2464826600 3081033250 6162066500 12324133000