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20320025313042 = 23271331813899839
BaseRepresentation
bin1001001111011000111111…
…11000111111111100010010
32122221120112111112211121200
410213230133320333330102
510130410402440004132
6111114520223132030
74165034112216150
oct447543770777422
978846474484550
1020320025313042
116524746602424
1223421a7444016
13b45229b10ab0
145036ccb943d0
15253885610d7c
hex127b1fe3ff12

20320025313042 has 96 divisors (see below), whose sum is σ = 54203782563840. Its totient is φ = 5357441450880.

The previous prime is 20320025312963. The next prime is 20320025313043. The reversal of 20320025313042 is 24031352002302.

20320025313042 is a `hidden beast` number, since 2 + 0 + 320 + 0 + 2 + 5 + 31 + 304 + 2 = 666.

It is a super-3 number, since 3×203200253130423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20320025312997 and 20320025313015.

It is not an unprimeable number, because it can be changed into a prime (20320025313043) 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, 3260559 + ... + 7160397.

It is an arithmetic number, because the mean of its divisors is an integer number (564622735040).

Almost surely, 220320025313042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320025313042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101891281920).

20320025313042 is an abundant number, since it is smaller than the sum of its proper divisors (33883757250798).

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

20320025313042 is a wasteful number, since it uses less digits than its factorization.

20320025313042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903048 (or 3903045 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20320025313042 its reverse (24031352002302), we get a palindrome (44351377315344).

The spelling of 20320025313042 in words is "twenty trillion, three hundred twenty billion, twenty-five million, three hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 3181 6362 9543 19086 22267 28629 41353 44534 57258 66801 82706 124059 133602 200403 248118 289471 372177 400806 578942 744354 868413 1736826 2605239 3899839 5210478 7799678 11699517 23399034 27298873 35098551 50697907 54597746 70197102 81896619 101395814 152093721 163793238 245689857 304187442 354885349 456281163 491379714 709770698 912562326 1064656047 2129312094 3193968141 6387936282 12405387859 24810775718 37216163577 74432327154 86837715013 111648490731 161270042167 173675430026 223296981462 260513145039 322540084334 483810126501 521026290078 781539435117 967620253002 1128890295169 1451430379503 1563078870234 2257780590338 2902860759006 3386670885507 6773341771014 10160012656521 20320025313042