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243113121240 = 233511641287327
BaseRepresentation
bin1110001001101010101…
…0111101010111011000
3212020111222020011111120
43202122222331113120
512440343424334430
6303403513525240
723364366302013
oct3423252752730
9766458204446
10243113121240
1194116023310
123b14a113820
1319c05341bc2
14baa3d0037a
1564cd3e7610
hex389aabd5d8

243113121240 has 128 divisors (see below), whose sum is σ = 796886968320. Its totient is φ = 58844364800.

The previous prime is 243113121197. The next prime is 243113121241. The reversal of 243113121240 is 42121311342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243113121240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243113121241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702457 + ... + 989783.

It is an arithmetic number, because the mean of its divisors is an integer number (6225679440).

Almost surely, 2243113121240 is an apocalyptic number.

243113121240 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 243113121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398443484160).

243113121240 is an abundant number, since it is smaller than the sum of its proper divisors (553773847080).

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

243113121240 is a wasteful number, since it uses less digits than its factorization.

243113121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287993 (or 287989 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 243113121240 its reverse (42121311342), we get a palindrome (285234432582).

The spelling of 243113121240 in words is "two hundred forty-three billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 641 660 1282 1320 1923 2564 3205 3846 5128 6410 7051 7692 9615 12820 14102 15384 19230 21153 25640 28204 35255 38460 42306 56408 70510 76920 84612 105765 141020 169224 211530 282040 287327 423060 574654 846120 861981 1149308 1436635 1723962 2298616 2873270 3160597 3447924 4309905 5746540 6321194 6895848 8619810 9481791 11493080 12642388 15802985 17239620 18963582 25284776 31605970 34479240 37927164 47408955 63211940 75854328 94817910 126423880 184176607 189635820 368353214 379271640 552529821 736706428 920883035 1105059642 1473412856 1841766070 2025942677 2210119284 2762649105 3683532140 4051885354 4420238568 5525298210 6077828031 7367064280 8103770708 10129713385 11050596420 12155656062 16207541416 20259426770 22101192840 24311312124 30389140155 40518853540 48622624248 60778280310 81037707080 121556560620 243113121240