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20201243032040 = 235739341157627
BaseRepresentation
bin1001001011111011101111…
…11010100011100111101000
32122112012221100201202112212
410211331313322203213220
510121434121204011130
6110544153430424252
74153330430411000
oct445756772434750
978465840652485
1020201243032040
116489332056644
122323177502088
13b36c79cb3015
144dba61471000
152507324e5e95
hex125f77ea39e8

20201243032040 has 128 divisors (see below), whose sum is σ = 53012187936000. Its totient is φ = 6925355055360.

The previous prime is 20201243032027. The next prime is 20201243032111. The reversal of 20201243032040 is 4023034210202.

It is a junction number, because it is equal to n+sod(n) for n = 20201243031997 and 20201243032015.

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, 128079707 + ... + 128237333.

It is an arithmetic number, because the mean of its divisors is an integer number (414157718250).

Almost surely, 220201243032040 is an apocalyptic number.

20201243032040 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 20201243032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26506093968000).

20201243032040 is an abundant number, since it is smaller than the sum of its proper divisors (32810944903960).

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

20201243032040 is a wasteful number, since it uses less digits than its factorization.

20201243032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167000 (or 166982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20201243032040 its reverse (4023034210202), we get a palindrome (24224277242242).

The spelling of 20201243032040 in words is "twenty trillion, two hundred one billion, two hundred forty-three million, thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 9341 13720 18682 37364 46705 65387 74728 93410 130774 157627 186820 261548 315254 326935 373640 457709 523096 630508 653870 788135 915418 1103389 1261016 1307740 1576270 1830836 2206778 2288545 2615480 3152540 3203963 3661672 4413556 4577090 5516945 6305080 6407926 7723723 8827112 9154180 11033890 12815852 15447446 16019815 18308360 22067780 25631704 30894892 32039630 38618615 44135560 54066061 61789784 64079260 77237230 108132122 128158520 154474460 216264244 270330305 308948920 432528488 540660610 1081321220 1472393807 2162642440 2944787614 5889575228 7361969035 10306756649 11779150456 14723938070 20613513298 29447876140 41227026596 51533783245 58895752280 72147296543 82454053192 103067566490 144294593086 206135132980 288589186172 360736482715 412270265960 505031075801 577178372344 721472965430 1010062151602 1442945930860 2020124303204 2525155379005 2885891861720 4040248606408 5050310758010 10100621516020 20201243032040