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30202101112120 = 2357257526179777
BaseRepresentation
bin1101101110111111110011…
…00000100001110100111000
310221221021220100120222221221
412313133321200201310320
512424312400341041440
6144122353111241424
76235013135451430
oct667377140416470
9127837810528857
1030202101112120
11969470378a953
123479452679274
1313b1079b48522
14765b0a5272c0
1537595c934d4a
hex1b77f9821d38

30202101112120 has 128 divisors (see below), whose sum is σ = 77980531455360. Its totient is φ = 10312624373760.

The previous prime is 30202101112063. The next prime is 30202101112171. The reversal of 30202101112120 is 2121110120203.

It is a junction number, because it is equal to n+sod(n) for n = 30202101112094 and 30202101112103.

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, 378541672 + ... + 378621448.

It is an arithmetic number, because the mean of its divisors is an integer number (609222901995).

Almost surely, 230202101112120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30202101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38990265727680).

30202101112120 is an abundant number, since it is smaller than the sum of its proper divisors (47778430343240).

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

30202101112120 is a wasteful number, since it uses less digits than its factorization.

30202101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85313 (or 85309 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 30202101112120 its reverse (2121110120203), we get a palindrome (32323211232323).

The spelling of 30202101112120 in words is "thirty trillion, two hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3598 5140 5261 7196 8995 10280 10522 14392 17990 21044 26305 35980 36827 42088 52610 71960 73654 79777 105220 147308 159554 184135 210440 294616 319108 368270 398885 558439 638216 736540 797770 1116878 1352077 1473080 1595540 2233756 2704154 2792195 3191080 4467512 5408308 5584390 6760385 9464539 10816616 11168780 13520770 18929078 20502689 22337560 27041540 37858156 41005378 47322695 54083080 75716312 82010756 94645390 102513445 143518823 164021512 189290780 205026890 287037646 378581560 410053780 419706797 574075292 717594115 820107560 839413594 1148150584 1435188230 1678827188 2098533985 2870376460 2937947579 3357654376 4197067970 5740752920 5875895158 8394135940 11751790316 14689737895 16788271880 23503580632 29379475790 58758951580 107864646829 117517903160 215729293658 431458587316 539323234145 755052527803 862917174632 1078646468290 1510105055606 2157292936580 3020210111212 3775262639015 4314585873160 6040420222424 7550525278030 15101050556060 30202101112120