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21210311123320 = 23511107626371933
BaseRepresentation
bin1001101001010011010010…
…00011110110000101111000
32210002200112001100221201111
410310221221003312011320
510240002204121421240
6113035514333530104
74316252165564644
oct464515103660570
983080461327644
1021210311123320
11683827374a750
12246684a343934
13bab17bb7c937
14534827d75c24
1526badedd91ea
hex134a690f6178

21210311123320 has 128 divisors (see below), whose sum is σ = 52557351344640. Its totient is φ = 7639431600640.

The previous prime is 21210311123249. The next prime is 21210311123321. The reversal of 21210311123320 is 2332111301212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21210311123291 and 21210311123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210311123321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294826074 + ... + 294898006.

It is an arithmetic number, because the mean of its divisors is an integer number (410604307380).

Almost surely, 221210311123320 is an apocalyptic number.

21210311123320 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 21210311123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26278675672320).

21210311123320 is an abundant number, since it is smaller than the sum of its proper divisors (31347040221320).

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

21210311123320 is a wasteful number, since it uses less digits than its factorization.

21210311123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78325 (or 78321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21210311123320 its reverse (2332111301212), we get a palindrome (23542422424532).

The spelling of 21210311123320 in words is "twenty-one trillion, two hundred ten billion, three hundred eleven million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 6263 9416 11770 12526 23540 25052 31315 47080 50104 62630 68893 71933 125260 137786 143866 250520 275572 287732 344465 359665 551144 575464 670141 688930 719330 791263 1340282 1377860 1438660 1582526 2680564 2755720 2877320 3165052 3350705 3956315 5361128 6330104 6701410 7371551 7696831 7912630 13402820 14743102 15393662 15825260 26805640 29486204 30787324 31650520 36857755 38484155 58972408 61574648 73715510 76968310 84665141 147431020 153936620 169330282 294862040 307873240 338660564 423325705 450516379 677321128 846651410 901032758 1693302820 1802065516 2252581895 3386605640 3604131032 4505163790 4955680169 9010327580 9911360338 18020655160 19822720676 24778400845 39645441352 48205252553 49556801690 96410505106 99113603380 192821010212 198227206760 241026262765 385642020424 482052525530 530257778083 964105051060 1060515556166 1928210102120 2121031112332 2651288890415 4242062224664 5302577780830 10605155561660 21210311123320