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12333103244 = 2271147218127
BaseRepresentation
bin10110111110001110…
…00011100010001100
31011211111220120002122
423133013003202030
5200224233300434
65355445112112
7614424435140
oct133707034214
934744816078
1012333103244
115259796010
1224823b8638
131217182c37
1484dd6b220
154c2b1cc2e
hex2df1c388c

12333103244 has 72 divisors (see below), whose sum is σ = 27494810112. Its totient is φ = 4702609440.

The previous prime is 12333103199. The next prime is 12333103247. The reversal of 12333103244 is 44230133321.

12333103244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12333103247) 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 23 ways as a sum of consecutive naturals, for example, 671309 + ... + 689435.

Almost surely, 212333103244 is an apocalyptic number.

12333103244 is a gapful number since it is divisible by the number (14) 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 12333103244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747405056).

12333103244 is an abundant number, since it is smaller than the sum of its proper divisors (15161706868).

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

12333103244 is a wasteful number, since it uses less digits than its factorization.

12333103244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18194 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 12333103244 its reverse (44230133321), we get a palindrome (56563236565).

The spelling of 12333103244 in words is "twelve billion, three hundred thirty-three million, one hundred three thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 2209 3619 4418 7238 8836 14476 15463 18127 24299 30926 36254 48598 61852 72508 97196 126889 170093 199397 253778 340186 398794 507556 680372 797588 851969 1395779 1703938 2791558 3407876 5583116 5963783 9371659 11927566 18743318 23855132 37486636 40042543 65601613 80085086 131203226 160170172 262406452 280297801 440467973 560595602 880935946 1121191204 1761871892 3083275811 6166551622 12333103244