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20203302323300 = 22524131734694481
BaseRepresentation
bin1001001011111111100101…
…01010001000010001100100
32122112102020212122121002112
410211333302222020101210
510122002330343321200
6110545134032300152
74153432444165415
oct445776252102144
978472225577075
1020203302323300
11648a19950a648
1223236510a1658
13b37217819865
144dbbb8b6180c
152508031bb535
hex125ff2a88464

20203302323300 has 144 divisors (see below), whose sum is σ = 45075180160080. Its totient is φ = 7855325184000.

The previous prime is 20203302323263. The next prime is 20203302323317. The reversal of 20203302323300 is 332320330202.

It can be written as a sum of positive squares in 24 ways, for example, as 20107188682816 + 96113640484 = 4484104^2 + 310022^2 .

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, 4508657060 + ... + 4508661540.

It is an arithmetic number, because the mean of its divisors is an integer number (313022084445).

Almost surely, 220203302323300 is an apocalyptic number.

20203302323300 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 20203302323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537590080040).

20203302323300 is an abundant number, since it is smaller than the sum of its proper divisors (24871877836780).

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

20203302323300 is a wasteful number, since it uses less digits than its factorization.

20203302323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 23.

Adding to 20203302323300 its reverse (332320330202), we get a palindrome (20535622653502).

The spelling of 20203302323300 in words is "twenty trillion, two hundred three billion, three hundred two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 317 410 634 820 1025 1268 1585 2050 3170 3469 4100 4481 6340 6938 7925 8962 12997 13876 15850 17345 17924 22405 25994 31700 34690 44810 51988 64985 69380 86725 89620 112025 129970 142229 173450 183721 224050 259940 284458 324925 346900 367442 448100 568916 649850 711145 734884 918605 1099673 1299700 1420477 1422290 1837210 2199346 2840954 2844580 3555725 3674420 4398692 4593025 5498365 5681908 7102385 7111450 9186050 10996730 14204770 14222900 15544589 18372100 21993460 27491825 28409540 31089178 35511925 45086593 54983650 58239557 62178356 71023850 77722945 90173186 109967300 116479114 142047700 155445890 180346372 225432965 232958228 291197785 310891780 388614725 450865930 582395570 637328149 777229450 901731860 1127164825 1164791140 1274656298 1455988925 1554458900 2254329650 2549312596 2911977850 3186640745 4508659300 4927634713 5823955700 6373281490 9855269426 12746562980 15933203725 19710538852 24638173565 31866407450 49276347130 63732814900 98552694260 123190867825 202033023233 246381735650 404066046466 492763471300 808132092932 1010165116165 2020330232330 4040660464660 5050825580825 10101651161650 20203302323300