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22103133233220 = 223251360937155009
BaseRepresentation
bin1010000011010010010010…
…11001111010000001000100
32220021001001100200102211100
411001221021121322001010
510344114204101430340
6115002012250140100
74440620150366124
oct501511131720104
986231040612740
1022103133233220
117051982534466
12258b89a721630
13c4441651a3a0
14565b23d36c84
15284e471ad830
hex141a4967a044

22103133233220 has 144 divisors (see below), whose sum is σ = 72205219260720. Its totient is φ = 5440646873088.

The previous prime is 22103133233081. The next prime is 22103133233261. The reversal of 22103133233220 is 2233233130122.

22103133233220 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 3 + 1 + 332 + 3 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2509284101184 + 19593849132036 = 1584072^2 + 4426494^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142515076 + ... + 142670084.

It is an arithmetic number, because the mean of its divisors is an integer number (501425133755).

Almost surely, 222103133233220 is an apocalyptic number.

22103133233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22103133233220 is an abundant number, since it is smaller than the sum of its proper divisors (50102086027500).

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

22103133233220 is a wasteful number, since it uses less digits than its factorization.

22103133233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215974 (or 215969 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22103133233220 its reverse (2233233130122), we get a palindrome (24336366363342).

The spelling of 22103133233220 in words is "twenty-two trillion, one hundred three billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 60937 121874 155009 182811 243748 304685 310018 365622 465027 548433 609370 620036 731244 775045 792181 914055 930054 1096866 1218740 1395081 1550090 1584362 1828110 1860108 2015117 2193732 2325135 2376543 2742165 2790162 3100180 3168724 3656220 3960905 4030234 4650270 4753086 5484330 5580324 6045351 6975405 7129629 7921810 8060468 9300540 9506172 10075585 10968660 11882715 12090702 13950810 14259258 15843620 18136053 20151170 23765430 24181404 27901620 28518516 30226755 35648145 36272106 40302340 47530860 60453510 71296290 72544212 90680265 120907020 142592580 181360530 362721060 9445783433 18891566866 28337350299 37783133732 47228917165 56674700598 85012050897 94457834330 113349401196 122795184629 141686751495 170024101794 188915668660 245590369258 283373502990 340048203588 368385553887 425060254485 491180738516 566747005980 613975923145 736771107774 850120508970 1105156661661 1227951846290 1473542215548 1700241017940 1841927769435 2210313323322 2455903692580 3683855538870 4420626646644 5525783308305 7367711077740 11051566616610 22103133233220