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12302000200 = 2352715158193
BaseRepresentation
bin10110111010100000…
…11010000001001000
31011202100101100202001
423131100122001020
5200143303001300
65352414320344
7613566163540
oct133520320110
934670340661
1012302000200
115243181916
122473ab90b4
1312108b2b79
14849b92320
154c002716a
hex2dd41a048

12302000200 has 96 divisors (see below), whose sum is σ = 32905215360. Its totient is φ = 4189824000.

The previous prime is 12302000189. The next prime is 12302000219. The reversal of 12302000200 is 200020321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182304 + ... + 240496.

It is an arithmetic number, because the mean of its divisors is an integer number (342762660).

Almost surely, 212302000200 is an apocalyptic number.

12302000200 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 12302000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452607680).

12302000200 is an abundant number, since it is smaller than the sum of its proper divisors (20603215160).

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

12302000200 is a wasteful number, since it uses less digits than its factorization.

12302000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58367 (or 58358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12302000200 its reverse (200020321), we get a palindrome (12502020521).

The spelling of 12302000200 in words is "twelve billion, three hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 1057 1208 1400 1510 2114 3020 3775 4228 5285 6040 7550 8456 10570 15100 21140 26425 30200 42280 52850 58193 105700 116386 211400 232772 290965 407351 465544 581930 814702 1163860 1454825 1629404 2036755 2327720 2909650 3258808 4073510 5819300 8147020 8787143 10183775 11638600 16294040 17574286 20367550 35148572 40735100 43935715 61510001 70297144 81470200 87871430 123020002 175742860 219678575 246040004 307550005 351485720 439357150 492080008 615100010 878714300 1230200020 1537750025 1757428600 2460400040 3075500050 6151000100 12302000200