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20331112230300 = 22352661699714653
BaseRepresentation
bin1001001111101101101001…
…01110001110110110011100
32122222122011011112120220210
410213312310232032312130
510131101104212332200
6111123552314212420
74165605625365114
oct447666456166634
978878134476823
1020331112230300
116529415906463
122344380424110
13b462a5a4b171
1450406140c044
15253cd3b1d650
hex127db4b8ed9c

20331112230300 has 144 divisors (see below), whose sum is σ = 58926119202272. Its totient is φ = 5412284697600.

The previous prime is 20331112230293. The next prime is 20331112230307. The reversal of 20331112230300 is 303221113302.

It is an interprime number because it is at equal distance from previous prime (20331112230293) and next prime (20331112230307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331112230307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1387497774 + ... + 1387512426.

Almost surely, 220331112230300 is an apocalyptic number.

20331112230300 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 20331112230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29463059601136).

20331112230300 is an abundant number, since it is smaller than the sum of its proper divisors (38595006971972).

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

20331112230300 is a wasteful number, since it uses less digits than its factorization.

20331112230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22328 (or 22321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20331112230300 its reverse (303221113302), we get a palindrome (20634333343602).

The spelling of 20331112230300 in words is "twenty trillion, three hundred thirty-one billion, one hundred twelve million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 661 1322 1983 2644 3305 3966 6610 6997 7932 9915 13220 13994 14653 16525 19830 20991 27988 29306 33050 34985 39660 41982 43959 49575 58612 66100 69970 73265 83964 87918 99150 104955 139940 146530 174925 175836 198300 209910 219795 293060 349850 366325 419820 439590 524775 699700 732650 879180 1049550 1098975 1465300 2099100 2197950 4395900 4625017 9250034 9685633 13875051 18500068 19371266 23125085 27750102 29056899 38742532 46250170 48428165 55500204 58113798 69375255 92500340 96856330 102527041 115625425 116227596 138750510 145284495 193712660 205054082 231250850 242140825 277501020 290568990 307581123 346876275 410108164 462501700 484281650 512635205 581137980 615162246 693752550 726422475 968563300 1025270410 1230324492 1387505100 1452844950 1537905615 2050540820 2563176025 2905689900 3075811230 5126352050 6151622460 7689528075 10252704100 15379056150 30758112300 67770374101 135540748202 203311122303 271081496404 338851870505 406622244606 677703741010 813244489212 1016555611515 1355407482020 1694259352525 2033111223030 3388518705050 4066222446060 5082778057575 6777037410100 10165556115150 20331112230300