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202013132331300 = 223521987740411517
BaseRepresentation
bin101101111011101011011000…
…111111100001100100100100
3222111021021012112021110102020
4231323223120333201210210
5202434240343334100200
61553351315105543140
760356652511641003
oct5573533077414444
9874237175243366
10202013132331300
1159405319802aa4
121a7a75b9344ab0
1388949ab448894
1437c56b8648c3a
151854c59e0cea0
hexb7bad8fe1924

202013132331300 has 144 divisors (see below), whose sum is σ = 615955590277440. Its totient is φ = 50976702743040.

The previous prime is 202013132331299. The next prime is 202013132331323. The reversal of 202013132331300 is 3133231310202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206859 + ... + 25204658.

Almost surely, 2202013132331300 is an apocalyptic number.

202013132331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013132331300 is an abundant number, since it is smaller than the sum of its proper divisors (413942457946140).

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

202013132331300 is a wasteful number, since it uses less digits than its factorization.

202013132331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40412430 (or 40412423 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 202013132331300 its reverse (3133231310202), we get a palindrome (205146363641502).

The spelling of 202013132331300 in words is "two hundred two trillion, thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 877 950 1140 1425 1754 1900 2631 2850 3508 4385 5262 5700 8770 10524 13155 16663 17540 21925 26310 33326 43850 49989 52620 65775 66652 83315 87700 99978 131550 166630 199956 249945 263100 333260 416575 499890 833150 999780 1249725 1666300 2499450 4998900 40411517 80823034 121234551 161646068 202057585 242469102 404115170 484938204 606172755 767818823 808230340 1010287925 1212345510 1535637646 2020575850 2303456469 2424691020 3030863775 3071275292 3839094115 4041151700 4606912938 6061727550 7678188230 9213825876 11517282345 12123455100 15356376460 19195470575 23034564690 35440900409 38390941150 46069129380 57586411725 70881800818 76781882300 106322701227 115172823450 141763601636 177204502045 212645402454 230345646900 354409004090 425290804908 531613506135 673377107771 708818008180 886022510225 1063227012270 1346754215542 1772045020450 2020131323313 2126454024540 2658067530675 2693508431084 3366885538855 3544090040900 4040262646626 5316135061350 6733771077710 8080525293252 10100656616565 10632270122700 13467542155420 16834427694275 20201313233130 33668855388550 40402626466260 50503283082825 67337710777100 101006566165650 202013132331300