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21001110220220 = 22513283266328111
BaseRepresentation
bin1001100011001101100111…
…01101101110110110111100
32202100200112110221221222012
410301212303231232312330
510223040233204021340
6112355435444310352
74265165042341364
oct461466355566674
982320473857865
1021001110220220
1167675802488a9
1224321a53a23b8
13b9451c59b100
1452865dd039a4
15266448d01565
hex1319b3b6edbc

21001110220220 has 144 divisors (see below), whose sum is σ = 48351018949632. Its totient is φ = 7657682123520.

The previous prime is 21001110220151. The next prime is 21001110220267. The reversal of 21001110220220 is 2202201110012.

It is a junction number, because it is equal to n+sod(n) for n = 21001110220195 and 21001110220204.

It is a congruent number.

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, 747063965 + ... + 747092075.

It is an arithmetic number, because the mean of its divisors is an integer number (335770964928).

Almost surely, 221001110220220 is an apocalyptic number.

21001110220220 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 21001110220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24175509474816).

21001110220220 is an abundant number, since it is smaller than the sum of its proper divisors (27349908729412).

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

21001110220220 is a wasteful number, since it uses less digits than its factorization.

21001110220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21001110220220 its reverse (2202201110012), we get a palindrome (23203311330232).

The spelling of 21001110220220 in words is "twenty-one trillion, one billion, one hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 169 260 332 338 415 676 830 845 1079 1660 1690 2158 2663 3380 4316 5326 5395 10652 10790 13315 14027 21580 26630 28054 28111 34619 53260 56108 56222 69238 70135 112444 138476 140270 140555 173095 221029 280540 281110 346190 365443 442058 450047 562220 692380 730886 884116 900094 1105145 1461772 1800188 1827215 2210290 2250235 2333213 2873377 3654430 4420580 4500470 4666426 4750759 5746754 7308860 9000940 9332852 9501518 11493508 11666065 14366885 19003036 23332130 23753795 28733770 30331769 37353901 46664260 47507590 57467540 60663538 74707802 74859593 95015180 121327076 149415604 149719186 151658845 186769505 299438372 303317690 373539010 374297965 394312997 606635380 747078020 748595930 788625994 973174709 1497191860 1577251988 1946349418 1971564985 3892698836 3943129970 4865873545 6213346219 7886259940 9731747090 12426692438 12651271217 19463494180 24853384876 25302542434 31066731095 50605084868 62133462190 63256356085 80773500847 124266924380 126512712170 161547001694 253025424340 323094003388 403867504235 807735008470 1050055511011 1615470016940 2100111022022 4200222044044 5250277555055 10500555110110 21001110220220