Search a number
-
+
220101222110120 = 235131750867489479
BaseRepresentation
bin110010000010111001001111…
…001010001001001110101000
31001212022110201121100112101122
4302002321033022021032220
5212322114300330010440
62100041034444434412
764234534316151251
oct6202711712111650
91055273647315348
10220101222110120
116414944994394a
1220829111b48a08
1395a75c1318520
143c4cd55349b28
151a6a5105b67b5
hexc82e4f2893a8

220101222110120 has 128 divisors (see below), whose sum is σ = 564706340755200. Its totient is φ = 76486004576256.

The previous prime is 220101222110093. The next prime is 220101222110177. The reversal of 220101222110120 is 21011222101022.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449419541 + ... + 449909019.

It is an arithmetic number, because the mean of its divisors is an integer number (4411768287150).

Almost surely, 2220101222110120 is an apocalyptic number.

220101222110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101222110120 is an abundant number, since it is smaller than the sum of its proper divisors (344605118645080).

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

220101222110120 is a wasteful number, since it uses less digits than its factorization.

220101222110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540387 (or 540383 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220101222110120 its reverse (21011222101022), we get a palindrome (241112444211142).

The spelling of 220101222110120 in words is "two hundred twenty trillion, one hundred one billion, two hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 50867 101734 203468 254335 406936 489479 508670 661271 864739 978958 1017340 1322542 1729478 1957916 2034680 2447395 2645084 3306355 3458956 3915832 4323695 4894790 5290168 6363227 6612710 6917912 8321143 8647390 9789580 11241607 12726454 13225420 16642286 17294780 19579160 22483214 25452908 26450840 31816135 33284572 34589560 41605715 44966428 50905816 56208035 63632270 66569144 83211430 89932856 108174859 112416070 127264540 166422860 216349718 224832140 254529080 332845720 432699436 449664280 540874295 865398872 1081748590 2163497180 4326994360 24898328293 49796656586 99593313172 124491641465 199186626344 248983282930 323678267809 423271580981 497966565860 647356535618 846543161962 995933131720 1294713071236 1618391339045 1693086323924 2116357904905 2589426142472 3236782678090 3386172647848 4232715809810 5502530552753 6473565356180 8465431619620 11005061105506 12947130712360 16930863239240 22010122211012 27512652763765 44020244422024 55025305527530 110050611055060 220101222110120