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20321313110304 = 2531019439222041
BaseRepresentation
bin1001001111011011011001…
…01001100011100100100000
32122221200212020202201100120
410213231230221203210200
510130421022124012204
6111115252105120240
74165111040264133
oct447555451434440
978850766681316
1020321313110304
116525247525588
1223424a6789080
13b453a38656cb
145037b1c1a21a
1525390d6e06d9
hex127b6ca63920

20321313110304 has 96 divisors (see below), whose sum is σ = 53877549841920. Its totient is φ = 6705963264000.

The previous prime is 20321313110291. The next prime is 20321313110323. The reversal of 20321313110304 is 40301131312302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91409524 + ... + 91631564.

It is an arithmetic number, because the mean of its divisors is an integer number (561224477520).

Almost surely, 220321313110304 is an apocalyptic number.

20321313110304 is a gapful number since it is divisible by the number (24) 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 20321313110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938774920960).

20321313110304 is an abundant number, since it is smaller than the sum of its proper divisors (33556236731616).

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

20321313110304 is a wasteful number, since it uses less digits than its factorization.

20321313110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231594 (or 231586 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20321313110304 its reverse (40301131312302), we get a palindrome (60622444422606).

The spelling of 20321313110304 in words is "twenty trillion, three hundred twenty-one billion, three hundred thirteen million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9439 9696 18878 28317 37756 56634 75512 113268 151024 222041 226536 302048 444082 453072 666123 888164 906144 953339 1332246 1776328 1906678 2664492 2860017 3552656 3813356 5328984 5720034 7105312 7626712 10657968 11440068 15253424 21315936 22426141 22880136 30506848 44852282 45760272 67278423 89704564 91520544 134556846 179409128 269113692 358818256 538227384 717636512 1076454768 2095844999 2152909536 4191689998 6287534997 8383379996 12575069994 16766759992 25150139988 33533519984 50300279976 67067039968 100600559952 201201119904 211680344899 423360689798 635041034697 846721379596 1270082069394 1693442759192 2540164138788 3386885518384 5080328277576 6773771036768 10160656555152 20321313110304