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20134334331320 = 23511647602911731
BaseRepresentation
bin1001001001111111000111…
…10110000111100110111000
32122021211020101012121002012
410210333203312013212320
510114340104042100240
6110453330245025052
74145441401010456
oct444774366074670
978254211177065
1020134334331320
116462a17913470
1223122039b5188
13b30876138351
144d87152299d6
1524db184b0b65
hex124fe3d879b8

20134334331320 has 128 divisors (see below), whose sum is σ = 49509452966400. Its totient is φ = 7308424358400.

The previous prime is 20134334331317. The next prime is 20134334331401. The reversal of 20134334331320 is 2313343343102.

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, 1716329855 + ... + 1716341585.

It is an arithmetic number, because the mean of its divisors is an integer number (386792601300).

Almost surely, 220134334331320 is an apocalyptic number.

20134334331320 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 20134334331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24754726483200).

20134334331320 is an abundant number, since it is smaller than the sum of its proper divisors (29375118635080).

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

20134334331320 is a wasteful number, since it uses less digits than its factorization.

20134334331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18429 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 20134334331320 its reverse (2313343343102), we get a palindrome (22447677674422).

The spelling of 20134334331320 in words is "twenty trillion, one hundred thirty-four billion, three hundred thirty-four million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 647 1294 2588 3235 5176 6029 6470 7117 11731 12058 12940 14234 23462 24116 25880 28468 30145 35585 46924 48232 56936 58655 60290 66319 71170 93848 117310 120580 129041 132638 142340 234620 241160 258082 265276 284680 331595 469240 516164 530552 645205 663190 1032328 1290410 1326380 2580820 2652760 3900763 5161640 7589957 7801526 15179914 15603052 19503815 30359828 31206104 37949785 39007630 42908393 60719656 70726199 75899570 78015260 83489527 85816786 141452398 151799140 156030520 166979054 171633572 214541965 282904796 303598280 333958108 343267144 353630995 417447635 429083930 565809592 667916216 707261990 777988189 834895270 858167860 1414523980 1555976378 1669790540 1716335720 2829047960 3111952756 3339581080 3889940945 6223905512 7779881890 15559763780 31119527560 45759850753 91519701506 183039403012 228799253765 366078806024 457598507530 503358358283 915197015060 1006716716566 1830394030120 2013433433132 2516791791415 4026866866264 5033583582830 10067167165660 20134334331320