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21200220102120 = 233513911597109597
BaseRepresentation
bin1001101001000000011111…
…00101101001110111101000
32210001201110210022221222120
410310200033211221313220
510234321022321231440
6113031125140151240
74315444134405033
oct464401745516750
983051423287876
1021200220102120
116833a65617104
1224648b2998520
13baa231373787
1453414babc01a
1526b6ee04bdd0
hex13480f969de8

21200220102120 has 128 divisors (see below), whose sum is σ = 64064327241600. Its totient is φ = 5612184953856.

The previous prime is 21200220102077. The next prime is 21200220102241. The reversal of 21200220102120 is 2120102200212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21200220102120.

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, 193383162 + ... + 193492758.

It is an arithmetic number, because the mean of its divisors is an integer number (500502556575).

Almost surely, 221200220102120 is an apocalyptic number.

21200220102120 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 21200220102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032163620800).

21200220102120 is an abundant number, since it is smaller than the sum of its proper divisors (42864107139480).

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

21200220102120 is a wasteful number, since it uses less digits than its factorization.

21200220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121347 (or 121343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21200220102120 its reverse (2120102200212), we get a palindrome (23320322302332).

The spelling of 21200220102120 in words is "twenty-one trillion, two hundred billion, two hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 11597 16680 23194 34791 46388 57985 69582 92776 109597 115970 139164 173955 219194 231940 278328 328791 347910 438388 463880 547985 657582 695820 876776 1095970 1315164 1391640 1611983 1643955 2191940 2630328 3223966 3287910 4383880 4835949 6447932 6575820 8059915 9671898 12895864 13151640 15233983 16119830 19343796 24179745 30467966 32239660 38687592 45701949 48359490 60935932 64479320 76169915 91403898 96718980 121871864 152339830 182807796 193437960 228509745 304679660 365615592 457019490 609359320 914038980 1270996409 1828077960 2541992818 3812989227 5083985636 6354982045 7625978454 10167971272 12709964090 15251956908 19064946135 25419928180 30503913816 38129892270 50839856360 76259784540 152519569080 176668500851 353337001702 530005502553 706674003404 883342504255 1060011005106 1413348006808 1766685008510 2120022010212 2650027512765 3533370017020 4240044020424 5300055025530 7066740034040 10600110051060 21200220102120