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243121245000 = 2335419853057
BaseRepresentation
bin1110001001101100100…
…1111100101101001000
3212020112112111220012120
43202123021330231020
512440403014320000
6303404404011240
723364525325314
oct3423311745510
9766475456176
10243121245000
119411a671867
123b150990b20
1319c06c2776a
14baa5016b44
1564cde9e6a0
hex389b27cb48

243121245000 has 160 divisors (see below), whose sum is σ = 799485957600. Its totient is φ = 61420032000.

The previous prime is 243121244911. The next prime is 243121245007. The reversal of 243121245000 is 542121342.

243121245000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2431212450004 (a number of 47 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (243121245007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 141529 + ... + 711528.

It is an arithmetic number, because the mean of its divisors is an integer number (4996787235).

Almost surely, 2243121245000 is an apocalyptic number.

243121245000 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 243121245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399742978800).

243121245000 is an abundant number, since it is smaller than the sum of its proper divisors (556364712600).

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

243121245000 is a wasteful number, since it uses less digits than its factorization.

243121245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853105 (or 853086 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 243121245000 its reverse (542121342), we get a palindrome (243663366342).

The spelling of 243121245000 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 625 750 760 950 1000 1140 1250 1425 1500 1875 1900 2280 2375 2500 2850 3000 3750 3800 4750 5000 5700 7125 7500 9500 11400 11875 14250 15000 19000 23750 28500 35625 47500 57000 71250 95000 142500 285000 853057 1706114 2559171 3412228 4265285 5118342 6824456 8530570 10236684 12795855 16208083 17061140 20473368 21326425 25591710 32416166 34122280 42652850 48624249 51183420 63979275 64832332 81040415 85305700 97248498 102366840 106632125 127958550 129664664 162080830 170611400 194496996 213264250 243121245 255917100 319896375 324161660 388993992 405202075 426528500 486242490 511834200 533160625 639792750 648323320 810404150 853057000 972484980 1066321250 1215606225 1279585500 1599481875 1620808300 1944969960 2026010375 2132642500 2431212450 2559171000 3198963750 3241616600 4052020750 4265285000 4862424900 6078031125 6397927500 8104041500 9724849800 10130051875 12156062250 12795855000 16208083000 20260103750 24312124500 30390155625 40520207500 48624249000 60780311250 81040415000 121560622500 243121245000