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12302103333 = 3133179151853
BaseRepresentation
bin10110111010100001…
…10011001100100101
31011202100120121012210
423131100303030211
5200143314301313
65352420434033
7613600103322
oct133520631445
934670517183
1012302103333
115243242353
122473b48919
13121091aab0
14849bbbb49
154c00479c3
hex2dd433325

12302103333 has 64 divisors (see below), whose sum is σ = 18609274880. Its totient is φ = 7177248000.

The previous prime is 12302103301. The next prime is 12302103343. The reversal of 12302103333 is 33330120321.

12302103333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12302103333 - 25 = 12302103301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302103343) 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 63 ways as a sum of consecutive naturals, for example, 14421735 + ... + 14422587.

It is an arithmetic number, because the mean of its divisors is an integer number (290769920).

Almost surely, 212302103333 is an apocalyptic number.

12302103333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12302103333 is a deficient number, since it is larger than the sum of its proper divisors (6307171547).

12302103333 is a wasteful number, since it uses less digits than its factorization.

12302103333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12302103333 its reverse (33330120321), we get a palindrome (45632223654).

The spelling of 12302103333 in words is "twelve billion, three hundred two million, one hundred three thousand, three hundred thirty-three".

Divisors: 1 3 13 31 39 79 93 151 237 403 453 853 1027 1209 1963 2449 2559 3081 4681 5889 7347 11089 11929 14043 26443 31837 33267 35787 60853 67387 79329 95511 128803 155077 182559 202161 343759 369799 386409 465231 876031 1031277 1109397 1674439 2088997 2628093 3992893 4807387 5023317 6266991 10175437 11978679 14422161 27156961 30526311 51907609 81470883 132280681 155722827 315438547 396842043 946315641 4100701111 12302103333