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21210112221100 = 225211101757252193
BaseRepresentation
bin1001101001010010111010…
…01101000101111110101100
32210002200000012002200011121
410310221131031011332230
510240001302212033400
6113035442510430324
74316244232132045
oct464513515057654
983080005080147
1021210112221100
116838181447550
1224667b38023a4
13bab1498bb20a
1453480979b8cc
1526bacc6ea21a
hex134a5d345fac

21210112221100 has 144 divisors (see below), whose sum is σ = 50774435915616. Its totient is φ = 7626286080000.

The previous prime is 21210112221059. The next prime is 21210112221149. The reversal of 21210112221100 is 112221101212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83976604 + ... + 84228796.

It is an arithmetic number, because the mean of its divisors is an integer number (352600249414).

Almost surely, 221210112221100 is an apocalyptic number.

21210112221100 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 21210112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387217957808).

21210112221100 is an abundant number, since it is smaller than the sum of its proper divisors (29564323694516).

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

21210112221100 is a wasteful number, since it uses less digits than its factorization.

21210112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253076 (or 253069 counting only the distinct ones).

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

Adding to 21210112221100 its reverse (112221101212), we get a palindrome (21322333322312).

The spelling of 21210112221100 in words is "twenty-one trillion, two hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 757 1010 1100 1111 1514 2020 2222 2525 3028 3785 4444 5050 5555 7570 8327 10100 11110 15140 16654 18925 22220 27775 33308 37850 41635 55550 75700 76457 83270 111100 152914 166540 208175 252193 305828 382285 416350 504386 764570 832700 841027 1008772 1260965 1529140 1682054 1911425 2521930 2774123 3364108 3822850 4205135 5043860 5548246 6304825 7645700 8410270 11096492 12609650 13870615 16820540 21025675 25219300 25471493 27741230 42051350 50942986 55482460 69353075 84102700 101885972 127357465 138706150 190910101 254714930 277412300 280186423 381820202 509429860 560372846 636787325 763640404 954550505 1120745692 1273574650 1400932115 1909101010 2100011111 2547149300 2801864230 3818202020 4200022222 4772752525 5603728460 7004660575 8400044444 9545505050 10500055555 14009321150 19091010100 19281920201 21000111110 28018642300 38563840402 42000222220 52500277775 77127680804 96409601005 105000555550 192819202010 210001111100 212101122211 385638404020 424202244422 482048005025 848404488844 964096010050 1060505611055 1928192020100 2121011222110 4242022444220 5302528055275 10605056110550 21210112221100