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12321100233 = 3213377140087
BaseRepresentation
bin10110111100110010…
…10001000111001001
31011210200022202001200
423132121101013021
5200213200201413
65354335534413
7614220424011
oct133631210711
934720282050
1012321100233
115252a37a72
12247a38a409
13121483c770
1484c524c41
154c1a4b573
hex2de6511c9

12321100233 has 48 divisors (see below), whose sum is σ = 19961899776. Its totient is φ = 7273203840.

The previous prime is 12321100219. The next prime is 12321100241. The reversal of 12321100233 is 33200112321.

12321100233 is a `hidden beast` number, since 12 + 321 + 100 + 233 = 666.

12321100233 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 12321100233 - 25 = 12321100201 is a prime.

It is a super-3 number, since 3×123211002333 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12321100633) 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, 287316 + ... + 327402.

It is an arithmetic number, because the mean of its divisors is an integer number (415872912).

Almost surely, 212321100233 is an apocalyptic number.

12321100233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12321100233 is a deficient number, since it is larger than the sum of its proper divisors (7640799543).

12321100233 is a wasteful number, since it uses less digits than its factorization.

12321100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214 (or 40211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321100233 its reverse (33200112321), we get a palindrome (45521212554).

The spelling of 12321100233 in words is "twelve billion, three hundred twenty-one million, one hundred thousand, two hundred thirty-three".

Divisors: 1 3 9 13 37 39 71 111 117 213 333 481 639 923 1443 2627 2769 4329 7881 8307 23643 34151 40087 102453 120261 307359 360783 521131 1483219 1563393 2846177 4449657 4690179 8538531 13348971 19281847 25615593 37000301 57845541 105308549 111000903 173536623 315925647 333002709 947776941 1369011137 4107033411 12321100233