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21208139345100 = 22352593113852733
BaseRepresentation
bin1001101001001111001111…
…00111001010110011001100
32210002110220200210012002010
410310213213213022303030
510234433232133020400
6113034515033101220
74316144315020011
oct464474747126314
983073820705063
1021208139345100
116837359846614
122466342b57810
13baabc3c4ca76
1453469d763708
1526ba143e4450
hex1349e79caccc

21208139345100 has 144 divisors (see below), whose sum is σ = 62602920656640. Its totient is φ = 5541769708800.

The previous prime is 21208139345077. The next prime is 21208139345143. The reversal of 21208139345100 is 154393180212.

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, 3578334 + ... + 7431066.

It is an arithmetic number, because the mean of its divisors is an integer number (434742504560).

Almost surely, 221208139345100 is an apocalyptic number.

21208139345100 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 21208139345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31301460328320).

21208139345100 is an abundant number, since it is smaller than the sum of its proper divisors (41394781311540).

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

21208139345100 is a wasteful number, since it uses less digits than its factorization.

21208139345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853120 (or 3853113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 21208139345100 in words is "twenty-one trillion, two hundred eight billion, one hundred thirty-nine million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 311 354 590 622 708 885 933 1180 1244 1475 1555 1770 1866 2950 3110 3540 3732 4425 4665 5900 6220 7775 8850 9330 15550 17700 18349 18660 23325 31100 36698 46650 55047 73396 91745 93300 110094 183490 220188 275235 366980 458725 550470 917450 1100940 1376175 1834900 2752350 3852733 5504700 7705466 11558199 15410932 19263665 23116398 38527330 46232796 57790995 77054660 96318325 115581990 192636650 227311247 231163980 288954975 385273300 454622494 577909950 681933741 909244988 1136556235 1155819900 1198199963 1363867482 2273112470 2396399926 2727734964 3409668705 3594599889 4546224940 4792799852 5682781175 5990999815 6819337410 7189199778 11365562350 11981999630 13638674820 14378399556 17048343525 17972999445 22731124700 23963999260 29954999075 34096687050 35945998890 59909998150 68193374100 70693797817 71891997780 89864997225 119819996300 141387595634 179729994450 212081393451 282775191268 353468989085 359459988900 424162786902 706937978170 848325573804 1060406967255 1413875956340 1767344945425 2120813934510 3534689890850 4241627869020 5302034836275 7069379781700 10604069672550 21208139345100