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21120043303242 = 23313172102384181
BaseRepresentation
bin1001100110101011001001…
…01011011100000101001010
32202210001112010112120112000
410303111210223130011022
510232012322041200432
6112530225225131430
74306605235016562
oct463254453340512
982701463476460
1021120043303242
116802a61934454
122451257929b76
13ba27c4718b50
1453030367dda2
152695aa2a857c
hex133564adc14a

21120043303242 has 128 divisors (see below), whose sum is σ = 53520033208320. Its totient is φ = 6115848053760.

The previous prime is 21120043303237. The next prime is 21120043303273. The reversal of 21120043303242 is 24230334002112.

21120043303242 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 0 + 4 + 330 + 324 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250846392 + ... + 250930572.

It is an arithmetic number, because the mean of its divisors is an integer number (418125259440).

Almost surely, 221120043303242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120043303242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26760016604160).

21120043303242 is an abundant number, since it is smaller than the sum of its proper divisors (32399989905078).

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

21120043303242 is a wasteful number, since it uses less digits than its factorization.

21120043303242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105245 (or 105239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21120043303242 its reverse (24230334002112), we get a palindrome (45350377305354).

The spelling of 21120043303242 in words is "twenty-one trillion, one hundred twenty billion, forty-three million, three hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934 21023 42046 63069 84181 126138 168362 189207 252543 273299 357391 378414 505086 546598 567621 714782 757629 819897 1072173 1094353 1135242 1431077 1515258 1639794 2144346 2188706 2272887 2459691 2862154 3216519 3283059 4293231 4545774 4646083 4919382 6433038 6566118 7379073 8586462 9292166 9649557 9849177 12879693 13938249 14758146 18604001 19299114 19698354 25759386 27876498 29547531 37208002 38639079 41814747 55812003 59095062 77278158 83629494 111624006 125444241 167436009 250888482 334872018 502308027 1004616054 1769737163 3539474326 5309211489 10618422978 15927634467 23006583119 30085531771 31855268934 46013166238 47782903401 60171063542 69019749357 90256595313 95565806802 138039498714 180513190626 207059248071 270769785939 391111913023 414118496142 541539571878 621177744213 782223826046 812309357817 1173335739069 1242355488426 1624618715634 2346671478138 3520007217207 7040014434414 10560021651621 21120043303242