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21101101212220 = 22523475931645867
BaseRepresentation
bin1001100110000111110111…
…01001000110001000111100
32202201020122000122122120021
410303003323221012020330
510231210023402242340
6112513413450301524
74305334646631451
oct463037351061074
982636560578507
1021101101212220
1167a5a21591077
1224496501278a4
13ba0a96275673
1452d427a9b828
15268d4c35be4a
hex1330fba4623c

21101101212220 has 96 divisors (see below), whose sum is σ = 47302404323328. Its totient is φ = 7888359232512.

The previous prime is 21101101212187. The next prime is 21101101212241. The reversal of 21101101212220 is 2221210110112.

It is a junction number, because it is equal to n+sod(n) for n = 21101101212194 and 21101101212203.

It is a congruent number.

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, 11997727 + ... + 13643593.

It is an arithmetic number, because the mean of its divisors is an integer number (492733378368).

Almost surely, 221101101212220 is an apocalyptic number.

21101101212220 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 21101101212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23651202161664).

21101101212220 is an abundant number, since it is smaller than the sum of its proper divisors (26201303111108).

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

21101101212220 is a wasteful number, since it uses less digits than its factorization.

21101101212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646539 (or 1646537 counting only the distinct ones).

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

Adding to 21101101212220 its reverse (2221210110112), we get a palindrome (23322311322332).

The spelling of 21101101212220 in words is "twenty-one trillion, one hundred one billion, one hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 593 940 1081 1186 2162 2372 2965 4324 5405 5930 10810 11860 13639 21620 27278 27871 54556 55742 68195 111484 136390 139355 272780 278710 557420 641033 1282066 1645867 2564132 3205165 3291734 6410330 6583468 8229335 12820660 16458670 32917340 37854941 75709882 77355749 151419764 154711498 189274705 309422996 378549410 386778745 757098820 773557490 975999131 1547114980 1779182227 1951998262 3558364454 3903996524 4879995655 7116728908 8895911135 9759991310 17791822270 19519982620 22447980013 35583644540 44895960026 45871959157 89791920052 91743918314 112239900065 183487836628 224479800130 229359795785 448959600260 458719591570 917439183140 1055055060611 2110110121222 4220220242444 5275275303055 10550550606110 21101101212220