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21320022330300 = 22352896553121853
BaseRepresentation
bin1001101100011111101000…
…10110111000101110111100
32210111011201000100201112210
410312033310112320232330
510243301401204032200
6113202141045500420
74330215012503151
oct466176426705674
983434630321483
1021320022330300
11687a852880341
122483b68411710
13bb86145a3aa5
14539c74a62228
1526e8b1988650
hex1363f45b8bbc

21320022330300 has 144 divisors (see below), whose sum is σ = 62389062781920. Its totient is φ = 5620555100160.

The previous prime is 21320022330263. The next prime is 21320022330323. The reversal of 21320022330300 is 303322002312.

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, 174904174 + ... + 175026026.

It is an arithmetic number, because the mean of its divisors is an integer number (433257380430).

Almost surely, 221320022330300 is an apocalyptic number.

21320022330300 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 21320022330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31194531390960).

21320022330300 is an abundant number, since it is smaller than the sum of its proper divisors (41069040451620).

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

21320022330300 is a wasteful number, since it uses less digits than its factorization.

21320022330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128512 (or 128505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 21320022330300 its reverse (303322002312), we get a palindrome (21623344332612).

The spelling of 21320022330300 in words is "twenty-one trillion, three hundred twenty billion, twenty-two million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 5340 6553 6675 8900 13106 13350 19659 26212 26700 32765 39318 65530 78636 98295 121853 131060 163825 196590 243706 327650 365559 393180 487412 491475 583217 609265 655300 731118 982950 1166434 1218530 1462236 1749651 1827795 1965900 2332868 2437060 2916085 3046325 3499302 3655590 5832170 6092650 6998604 7311180 8748255 9138975 10844917 11664340 12185300 14580425 17496510 18277950 21689834 29160850 32534751 34993020 36555900 43379668 43741275 54224585 58321700 65069502 87482550 108449170 130139004 162673755 174965100 216898340 271122925 325347510 542245850 650695020 798502709 813368775 1084491700 1597005418 1626737550 2395508127 3194010836 3253475100 3992513545 4791016254 7985027090 9582032508 11977540635 15970054180 19962567725 23955081270 39925135450 47910162540 59887703175 71066741101 79850270900 119775406350 142133482202 213200223303 239550812700 284266964404 355333705505 426400446606 710667411010 852800893212 1066001116515 1421334822020 1776668527525 2132002233030 3553337055050 4264004466060 5330005582575 7106674110100 10660011165150 21320022330300