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233021001412000 = 2553252123107993
BaseRepresentation
bin110100111110111001101110…
…000000111010110110100000
31010120001120221020110100202201
4310332321232000322312200
5221020304002330141000
62143332211545222544
7100040132433226414
oct6476715600726640
91116046836410681
10233021001412000
116827a7194a781a
1222175045a91a54
13a003a2b218719
1441783c3186d44
151be16271d796a
hexd3ee6e03ada0

233021001412000 has 96 divisors (see below), whose sum is σ = 572759730610704. Its totient is φ = 93171423744000.

The previous prime is 233021001411949. The next prime is 233021001412103. The reversal of 233021001412000 is 214100120332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 537916631184 + 232483084780816 = 733428^2 + 15247396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1469997 + ... + 21637996.

Almost surely, 2233021001412000 is an apocalyptic number.

233021001412000 is a gapful number since it is divisible by the number (20) 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 233021001412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286379865305352).

233021001412000 is an abundant number, since it is smaller than the sum of its proper divisors (339738729198704).

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

233021001412000 is a wasteful number, since it uses less digits than its factorization.

233021001412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110539 (or 23110521 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 233021001412000 its reverse (214100120332), we get a palindrome (233235101532332).

The spelling of 233021001412000 in words is "two hundred thirty-three trillion, twenty-one billion, one million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2521 4000 5042 10084 12605 20168 25210 40336 50420 63025 80672 100840 126050 201680 252100 315125 403360 504200 630250 1008400 1260500 2016800 2521000 5042000 10084000 23107993 46215986 92431972 115539965 184863944 231079930 369727888 462159860 577699825 739455776 924319720 1155399650 1848639440 2310799300 2888499125 3697278880 4621598600 5776998250 9243197200 11553996500 18486394400 23107993000 46215986000 58255250353 92431972000 116510500706 233021001412 291276251765 466042002824 582552503530 932084005648 1165105007060 1456381258825 1864168011296 2330210014120 2912762517650 4660420028240 5825525035300 7281906294125 9320840056480 11651050070600 14563812588250 23302100141200 29127625176500 46604200282400 58255250353000 116510500706000 233021001412000