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203121142013040 = 24354159349871059
BaseRepresentation
bin101110001011110011010011…
…100001000001110001110000
3222122012012011121222012220020
4232023303103201001301300
5203110414044323404130
62000000321530443440
760533006152561236
oct5613632341016160
9878165147865806
10203121142013040
11597a2213344479
121a9462a3593580
13894531a7769b4
1438231897ba956
1518739a8b6ce10
hexb8bcd3841c70

203121142013040 has 160 divisors (see below), whose sum is σ = 655966252972800. Its totient is φ = 51948854691840.

The previous prime is 203121142013021. The next prime is 203121142013107. The reversal of 203121142013040 is 40310241121302.

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 203121142013040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174354970 + ... + 175516089.

It is an arithmetic number, because the mean of its divisors is an integer number (4099789081080).

Almost surely, 2203121142013040 is an apocalyptic number.

203121142013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203121142013040 is an abundant number, since it is smaller than the sum of its proper divisors (452845110959760).

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

203121142013040 is a wasteful number, since it uses less digits than its factorization.

203121142013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349871175 (or 349871169 counting only the distinct ones).

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

Adding to 203121142013040 its reverse (40310241121302), we get a palindrome (243431383134342).

The spelling of 203121142013040 in words is "two hundred three trillion, one hundred twenty-one billion, one hundred forty-two million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 59 60 80 82 118 120 123 164 177 205 236 240 246 295 328 354 410 472 492 590 615 656 708 820 885 944 984 1180 1230 1416 1640 1770 1968 2360 2419 2460 2832 3280 3540 4720 4838 4920 7080 7257 9676 9840 12095 14160 14514 19352 24190 29028 36285 38704 48380 58056 72570 96760 116112 145140 193520 290280 580560 349871059 699742118 1049613177 1399484236 1749355295 2099226354 2798968472 3498710590 4198452708 5248065885 5597936944 6997421180 8396905416 10496131770 13994842360 14344713419 16793810832 20642392481 20992263540 27989684720 28689426838 41284784962 41984527080 43034140257 57378853676 61927177443 71723567095 82569569924 83969054160 86068280514 103211962405 114757707352 123854354886 143447134190 165139139848 172136561028 206423924810 215170701285 229515414704 247708709772 286894268380 309635887215 330278279696 344273122056 412847849620 430341402570 495417419544 573788536760 619271774430 688546244112 825695699240 846338091721 860682805140 990834839088 1147577073520 1238543548860 1651391398480 1692676183442 1721365610280 2477087097720 2539014275163 3385352366884 3442731220560 4231690458605 4954174195440 5078028550326 6770704733768 8463380917210 10156057100652 12695071375815 13541409467536 16926761834420 20312114201304 25390142751630 33853523668840 40624228402608 50780285503260 67707047337680 101560571006520 203121142013040