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233123132312 = 23767264723473
BaseRepresentation
bin1101100100011100111…
…0001011001110011000
3211021201202022010222122
43121013032023032120
512304414010213222
6255032325440412
722562002633610
oct3310716131630
9737652263878
10233123132312
118a959a26814
1239220570108
1318ca274b355
14b3d7225a40
1560e6365a42
hex364738b398

233123132312 has 64 divisors (see below), whose sum is σ = 507218680320. Its totient is φ = 98377348608.

The previous prime is 233123132287. The next prime is 233123132323. The reversal of 233123132312 is 213231321332.

233123132312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9919808 + ... + 9943280.

It is an arithmetic number, because the mean of its divisors is an integer number (7925291880).

Almost surely, 2233123132312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233123132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253609340160).

233123132312 is an abundant number, since it is smaller than the sum of its proper divisors (274095548008).

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

233123132312 is a wasteful number, since it uses less digits than its factorization.

233123132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 26196 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 233123132312 its reverse (213231321332), we get a palindrome (446354453644).

The spelling of 233123132312 in words is "two hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 938 1876 2647 3752 5294 10588 18529 21176 23473 37058 46946 74116 93892 148232 164311 177349 187784 328622 354698 657244 709396 1241443 1314488 1418792 1572691 2482886 3145382 4965772 6290764 9931544 11008837 12581528 22017674 44035348 62133031 88070696 124266062 248532124 434931217 497064248 869862434 1739724868 3479449736 4162913077 8325826154 16651652308 29140391539 33303304616 58280783078 116561566156 233123132312