Search a number
-
+
21111220210220 = 22572431074682039
BaseRepresentation
bin1001100110011010101101…
…10010000000101000101100
32202202012202020100000020222
410303031112302000220230
510231341234333211340
6112522205523430512
74306143500662400
oct463152662005054
982665666300228
1021111220210220
1167aa244493038
12244b5b4b25438
13ba1a197c894a
1452db07959100
152692408c38b5
hex133356c80a2c

21111220210220 has 144 divisors (see below), whose sum is σ = 53264235467520. Its totient is φ = 7003729547136.

The previous prime is 21111220210217. The next prime is 21111220210229. The reversal of 21111220210220 is 2201202211112.

It is not an unprimeable number, because it can be changed into a prime (21111220210229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2167961 + ... + 6849999.

It is an arithmetic number, because the mean of its divisors is an integer number (369890524080).

Almost surely, 221111220210220 is an apocalyptic number.

21111220210220 is a gapful number since it is divisible by the number (20) 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 21111220210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26632117733760).

21111220210220 is an abundant number, since it is smaller than the sum of its proper divisors (32153015257300).

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

21111220210220 is a wasteful number, since it uses less digits than its factorization.

21111220210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682212 (or 4682203 counting only the distinct ones).

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

Adding to 21111220210220 its reverse (2201202211112), we get a palindrome (23312422421332).

The spelling of 21111220210220 in words is "twenty-one trillion, one hundred eleven billion, two hundred twenty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 107 140 172 196 214 215 245 301 428 430 490 535 602 749 860 980 1070 1204 1498 1505 2107 2140 2996 3010 3745 4214 4601 5243 6020 7490 8428 9202 10486 10535 14980 18404 20972 21070 23005 26215 32207 42140 46010 52430 64414 92020 104860 128828 161035 225449 322070 450898 644140 901796 1127245 2254490 4508980 4682039 9364078 18728156 23410195 32774273 46820390 65548546 93640780 131097092 163871365 201327677 229419911 327742730 402655354 458839822 500978173 655485460 805310708 917679644 1001956346 1006638385 1147099555 1409293739 2003912692 2013276770 2294199110 2504890865 2818587478 3506847211 4026553540 4588398220 5009781730 5637174956 7013694422 7046468695 9865056173 10019563460 14027388844 14092937390 17534236055 19730112346 21542061439 24547930477 28185874780 35068472110 39460224692 43084122878 49095860954 49325280865 70136944220 86168245756 98191721908 98650561730 107710307195 122739652385 150794430073 197301123460 215420614390 245479304770 301588860146 430841228780 490958609540 603177720292 753972150365 1055561010511 1507944300730 2111122021022 3015888601460 4222244042044 5277805052555 10555610105110 21111220210220