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12303300100 = 22527131976863
BaseRepresentation
bin10110111010101010…
…10111011000000100
31011202102211101212111
423131111113120010
5200144121100400
65352502230404
7613613216410
oct133525273004
934672741774
1012303300100
11524398a513
122474425404
131210c49740
1484a00dd40
154c01d23ba
hex2dd557604

12303300100 has 144 divisors (see below), whose sum is σ = 33030885888. Its totient is φ = 3873461760.

The previous prime is 12303300019. The next prime is 12303300101. The reversal of 12303300100 is 100330321.

12303300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12303300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1789269 + ... + 1796131.

It is an arithmetic number, because the mean of its divisors is an integer number (229381152).

Almost surely, 212303300100 is an apocalyptic number.

12303300100 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 12303300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515442944).

12303300100 is an abundant number, since it is smaller than the sum of its proper divisors (20727585788).

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

12303300100 is a wasteful number, since it uses less digits than its factorization.

12303300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 12303300100 its reverse (100330321), we get a palindrome (12403630421).

The spelling of 12303300100 in words is "twelve billion, three hundred three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 197 260 325 350 364 394 455 650 700 788 910 985 1300 1379 1820 1970 2275 2561 2758 3940 4550 4925 5122 5516 6863 6895 9100 9850 10244 12805 13726 13790 17927 19700 25610 27452 27580 34315 34475 35854 48041 51220 64025 68630 68950 71708 89219 89635 96082 128050 137260 137900 171575 178438 179270 192164 240205 256100 343150 356876 358540 446095 448175 480410 624533 686300 892190 896350 960820 1201025 1249066 1352011 1784380 1792700 2230475 2402050 2498132 2704022 3122665 4460950 4804100 5408044 6245330 6760055 8921900 9464077 12490660 13520110 15613325 17576143 18928154 27040220 31226650 33800275 35152286 37856308 47320385 62453300 67600550 70304572 87880715 94640770 123033001 135201100 175761430 189281540 236601925 246066002 351522860 439403575 473203850 492132004 615165005 878807150 946407700 1230330010 1757614300 2460660020 3075825025 6151650050 12303300100