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21223321221300 = 223521134571860373
BaseRepresentation
bin1001101001101011100001…
…00001011011100010110100
32210010221002202011102000020
410310311300201123202310
510240210330213040200
6113045505325245140
74320222453600522
oct464656041334264
983127082142006
1021223321221300
11684283a5a1940
12246927b4037b0
13bac473378973
145352ddbad312
1526c102182ea0
hex134d7085b8b4

21223321221300 has 144 divisors (see below), whose sum is σ = 67007933009472. Its totient is φ = 5143556505600.

The previous prime is 21223321221253. The next prime is 21223321221301. The reversal of 21223321221300 is 312212332212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223321221301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10477914 + ... + 12338286.

Almost surely, 221223321221300 is an apocalyptic number.

21223321221300 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 21223321221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503966504736).

21223321221300 is an abundant number, since it is smaller than the sum of its proper divisors (45784611788172).

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

21223321221300 is a wasteful number, since it uses less digits than its factorization.

21223321221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863858 (or 1863851 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21223321221300 its reverse (312212332212), we get a palindrome (21535533553512).

The spelling of 21223321221300 in words is "twenty-one trillion, two hundred twenty-three billion, three hundred twenty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3457 6914 10371 13828 17285 20742 34570 38027 41484 51855 69140 76054 86425 103710 114081 152108 172850 190135 207420 228162 259275 345700 380270 456324 518550 570405 760540 950675 1037100 1140810 1860373 1901350 2281620 2852025 3720746 3802700 5581119 5704050 7441492 9301865 11162238 11408100 18603730 20464103 22324476 27905595 37207460 40928206 46509325 55811190 61392309 81856412 93018650 102320515 111622380 122784618 139527975 186037300 204641030 245569236 279055950 306961545 409282060 511602575 558111900 613923090 1023205150 1227846180 1534807725 2046410300 3069615450 6139230900 6431309461 12862618922 19293928383 25725237844 32156547305 38587856766 64313094610 70744404071 77175713532 96469641915 128626189220 141488808142 160782736525 192939283830 212233212213 282977616284 321565473050 353722020355 385878567660 424466424426 482348209575 643130946100 707444040710 848932848852 964696419150 1061166061065 1414888081420 1768610101775 1929392838300 2122332122130 3537220203550 4244664244260 5305830305325 7074440407100 10611660610650 21223321221300