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120143204320 = 25524115971951
BaseRepresentation
bin110111111100100010…
…1111100111111100000
3102111002222122010220011
41233321011330333200
53432023130014240
6131105405454304
711452155246466
oct1577105747740
9374088563804
10120143204320
1146a527856a7
121b34b871394
13b438a77059
145b5a382836
1531d28416ea
hex1bf917cfe0

120143204320 has 96 divisors (see below), whose sum is σ = 285340720896. Its totient is φ = 47803392000.

The previous prime is 120143204303. The next prime is 120143204327. The reversal of 120143204320 is 23402341021.

It is a junction number, because it is equal to n+sod(n) for n = 120143204291 and 120143204300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120143204327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61579345 + ... + 61581295.

It is an arithmetic number, because the mean of its divisors is an integer number (2972299176).

Almost surely, 2120143204320 is an apocalyptic number.

120143204320 is a gapful number since it is divisible by the number (10) 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 120143204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142670360448).

120143204320 is an abundant number, since it is smaller than the sum of its proper divisors (165197516576).

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

120143204320 is a wasteful number, since it uses less digits than its factorization.

120143204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 120143204320 its reverse (23402341021), we get a palindrome (143545545341).

The spelling of 120143204320 in words is "one hundred twenty billion, one hundred forty-three million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1597 1928 1951 2410 3194 3856 3902 4820 6388 7712 7804 7985 9640 9755 12776 15608 15970 19280 19510 25552 31216 31940 38560 39020 51104 62432 63880 78040 127760 156080 255520 312160 384877 470191 769754 940382 1539508 1880764 1924385 2350955 3079016 3115747 3761528 3848770 4701910 6158032 6231494 7523056 7697540 9403820 12316064 12462988 15046112 15395080 15578735 18807640 24925976 30790160 31157470 37615280 49851952 61580320 62314940 75230560 99703904 124629880 249259760 498519520 750895027 1501790054 3003580108 3754475135 6007160216 7508950270 12014320432 15017900540 24028640864 30035801080 60071602160 120143204320