Search a number
-
+
120020100002020 = 225103211422965293
BaseRepresentation
bin11011010010100001011011…
…011011010011000011100100
3120201221210212010110221011201
4123102201123123103003210
5111212402131100031040
61103132250041412244
734165110651322141
oct3322413333230344
9521853763427151
10120020100002020
1135273269596229
121156484879a084
1351c7b01748caa
14218d00a7473c8
15dd1ee9076a9a
hex6d285b6d30e4

120020100002020 has 96 divisors (see below), whose sum is σ = 255759711217920. Its totient is φ = 47304712143360.

The previous prime is 120020100002003. The next prime is 120020100002057. The reversal of 120020100002020 is 20200001020021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120020100001988 and 120020100002006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838144494 + ... + 1838209786.

It is an arithmetic number, because the mean of its divisors is an integer number (2664163658520).

Almost surely, 2120020100002020 is an apocalyptic number.

120020100002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020100002020 is an abundant number, since it is smaller than the sum of its proper divisors (135739611215900).

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

120020100002020 is a wasteful number, since it uses less digits than its factorization.

120020100002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69845 (or 69843 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120020100002020 its reverse (20200001020021), we get a palindrome (140220101022041).

The spelling of 120020100002020 in words is "one hundred twenty trillion, twenty billion, one hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 103 206 211 412 422 515 844 1030 1055 2060 2110 4220 4229 8458 16916 21145 21733 42290 43466 65293 84580 86932 108665 130586 217330 261172 326465 434660 435587 652930 871174 892319 1305860 1742348 1784638 2177935 3569276 4355870 4461595 6725179 8711740 8923190 13450358 13776823 17846380 26900716 27553646 33625895 55107292 67251790 68884115 91908857 134503580 137768230 183817714 275536460 276124097 367635428 459544285 552248194 919088570 1104496388 1380620485 1419012769 1838177140 2761240970 2838025538 5522481940 5676051076 7095063845 14190127690 28380255380 28440781991 56881563982 58262184467 113763127964 116524368934 142203909955 233048737868 284407819910 291310922335 568815639820 582621844670 1165243689340 6001005000101 12002010000202 24004020000404 30005025000505 60010050001010 120020100002020