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21120211011220 = 22579131917415821
BaseRepresentation
bin1001100110101011011101…
…01011001100011010010100
32202210001221211010000121121
410303111232223030122110
510232013143004324340
6112530254015453324
74306612342351246
oct463255653143224
982701854100547
1021120211011220
116803038570992
1224512a3b27244
13ba28203a7b39
1453031ba58096
152695b9d8494a
hex13356eacc694

21120211011220 has 96 divisors (see below), whose sum is σ = 44981461324800. Its totient is φ = 8328604377600.

The previous prime is 21120211011187. The next prime is 21120211011223. The reversal of 21120211011220 is 2211011202112.

It is a junction number, because it is equal to n+sod(n) for n = 21120211011194 and 21120211011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120211011223) by changing a digit.

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, 3628275910 + ... + 3628281730.

It is an arithmetic number, because the mean of its divisors is an integer number (468556888800).

Almost surely, 221120211011220 is an apocalyptic number.

21120211011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120211011220 is an abundant number, since it is smaller than the sum of its proper divisors (23861250313580).

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

21120211011220 is a wasteful number, since it uses less digits than its factorization.

21120211011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21120211011220 its reverse (2211011202112), we get a palindrome (23331222213332).

The spelling of 21120211011220 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1319 1580 1741 2638 3482 5276 5821 6595 6964 8705 11642 13190 17410 23284 26380 29105 34820 58210 104201 116420 137539 208402 275078 416804 459859 521005 550156 687695 919718 1042010 1375390 1839436 2084020 2296379 2299295 2750780 4592758 4598590 7677899 9185516 9197180 10134361 11481895 15355798 20268722 22963790 30711596 38389495 40537444 45927580 50671805 76778990 101343610 153557980 181413941 202687220 362827882 606554021 725655764 800614519 907069705 1213108042 1601229038 1814139410 2426216084 3032770105 3202458076 3628278820 4003072595 6065540210 8006145190 12131080420 13367222159 16012290380 26734444318 53468888636 66836110795 133672221590 267344443180 1056010550561 2112021101122 4224042202244 5280052752805 10560105505610 21120211011220