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20313106056304 = 2429233659285113
BaseRepresentation
bin1001001111001100000110…
…11110001000010001110000
32122220220200021202011202121
410213212003132020101300
510130302220122300204
6111111413451324024
74164400463420035
oct447460336102160
978826607664677
1020313106056304
116521815897426
122340996150614
13b44696468639
14503233c5538c
152535cce45b54
hex127983788470

20313106056304 has 80 divisors (see below), whose sum is σ = 40950695728800. Its totient is φ = 9749388873728.

The previous prime is 20313106056283. The next prime is 20313106056343. The reversal of 20313106056304 is 40365060131302.

It is a self number, because there is not a number n which added to its sum of digits gives 20313106056304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71103252 + ... + 71388364.

It is an arithmetic number, because the mean of its divisors is an integer number (511883696610).

Almost surely, 220313106056304 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 20313106056304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475347864400).

20313106056304 is an abundant number, since it is smaller than the sum of its proper divisors (20637589672496).

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

20313106056304 is a wasteful number, since it uses less digits than its factorization.

20313106056304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286042 (or 286036 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 20313106056304 its reverse (40365060131302), we get a palindrome (60678166187606).

The spelling of 20313106056304 in words is "twenty trillion, three hundred thirteen billion, one hundred six million, fifty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 233 464 466 659 932 1318 1864 2636 3728 5272 6757 10544 13514 19111 27028 38222 54056 76444 108112 152888 153547 285113 305776 307094 570226 614188 1140452 1228376 2280904 2456752 4452863 4561808 8268277 8905726 16536554 17811452 33073108 35622904 66146216 66431329 71245808 132292432 132862658 187889467 265725316 375778934 531450632 751557868 1062901264 1503115736 1926508541 3006231472 3853017082 5448794543 7706034164 10897589086 15412068328 21795178172 30824136656 43590356344 43778245811 87180712688 87556491622 175112983244 350225966488 700451932976 1269569128519 2539138257038 5078276514076 10156553028152 20313106056304