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21210111010220 = 225113131753175709
BaseRepresentation
bin1001101001010010111010…
…01000011110010110101100
32210002200000002211011011012
410310221131020132112230
510240001301404311340
6113035442424444352
74316244215626556
oct464513510362654
983080002734135
1021210111010220
11683818079a820
1224667b33196b8
13bab149586012
145348095644d6
1526bacc55b565
hex134a5d21e5ac

21210111010220 has 96 divisors (see below), whose sum is σ = 48773761727040. Its totient is φ = 7683696783360.

The previous prime is 21210111010199. The next prime is 21210111010237. The reversal of 21210111010220 is 2201011101212.

It is a junction number, because it is equal to n+sod(n) for n = 21210111010195 and 21210111010204.

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, 120623726 + ... + 120799434.

It is an arithmetic number, because the mean of its divisors is an integer number (508060017990).

Almost surely, 221210111010220 is an apocalyptic number.

21210111010220 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 21210111010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386880863520).

21210111010220 is an abundant number, since it is smaller than the sum of its proper divisors (27563650716820).

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

21210111010220 is a wasteful number, since it uses less digits than its factorization.

21210111010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177795 (or 177793 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21210111010220 its reverse (2201011101212), we get a palindrome (23411122111432).

The spelling of 21210111010220 in words is "twenty-one trillion, two hundred ten billion, one hundred eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 1753 3130 3443 3506 6260 6886 7012 8765 13772 17215 17530 19283 34430 35060 38566 68860 77132 96415 175709 192830 351418 385660 548689 702836 878545 1097378 1757090 1932799 2194756 2743445 3514180 3865598 5486890 6035579 7731196 9663995 10973780 12071158 19327990 24142316 30177895 38655980 54996917 60355790 109993834 120711580 219987668 274984585 308017877 549969170 604966087 616035754 1099938340 1209932174 1232071508 1540089385 2419864348 3024830435 3080178770 3388196647 6049660870 6160357540 6776393294 12099321740 13552786588 16940983235 33881966470 67763932940 96409595501 192819191002 385638382004 482047977505 964095955010 1060505550511 1928191910020 2121011101022 4242022202044 5302527752555 10605055505110 21210111010220