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21313102323300 = 22352531996735913
BaseRepresentation
bin1001101100010010101111…
…11001001001111001100100
32210110111211202010221112020
410312021113321021321210
510243143213143321200
6113155034250023140
74326551354430504
oct466112771117144
983414752127466
1021313102323300
1168779216a2697
122482756a17ab0
13bb7a80a27ca8
145397b99a9a04
1526e6091c0ea0
hex136257e49e64

21313102323300 has 144 divisors (see below), whose sum is σ = 63145152201600. Its totient is φ = 5548235996160.

The previous prime is 21313102323257. The next prime is 21313102323313. The reversal of 21313102323300 is 332320131312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203857 + ... + 6532056.

It is an arithmetic number, because the mean of its divisors is an integer number (438508001400).

Almost surely, 221313102323300 is an apocalyptic number.

21313102323300 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 21313102323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31572576100800).

21313102323300 is an abundant number, since it is smaller than the sum of its proper divisors (41832049878300).

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

21313102323300 is a wasteful number, since it uses less digits than its factorization.

21313102323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736182 (or 6736175 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21313102323300 its reverse (332320131312), we get a palindrome (21645422454612).

The spelling of 21313102323300 in words is "twenty-one trillion, three hundred thirteen billion, one hundred two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 199 212 265 300 318 398 530 597 636 795 796 995 1060 1194 1325 1590 1990 2388 2650 2985 3180 3975 3980 4975 5300 5970 7950 9950 10547 11940 14925 15900 19900 21094 29850 31641 42188 52735 59700 63282 105470 126564 158205 210940 263675 316410 527350 632820 791025 1054700 1582050 3164100 6735913 13471826 20207739 26943652 33679565 40415478 67359130 80830956 101038695 134718260 168397825 202077390 336795650 357003389 404154780 505193475 673591300 714006778 1010386950 1071010167 1340446687 1428013556 1785016945 2020773900 2142020334 2680893374 3570033890 4021340061 4284040668 5355050835 5361786748 6702233435 7140067780 8042680122 8925084725 10710101670 13404466870 16085360244 17850169450 20106700305 21420203340 26775254175 26808933740 33511167175 35700338900 40213400610 53550508350 67022334350 71043674411 80426801220 100533501525 107101016700 134044668700 142087348822 201067003050 213131023233 284174697644 355218372055 402134006100 426262046466 710436744110 852524092932 1065655116165 1420873488220 1776091860275 2131310232330 3552183720550 4262620464660 5328275580825 7104367441100 10656551161650 21313102323300