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200313221333010 = 235197431559303389
BaseRepresentation
bin101101100010111100001110…
…011001101100000000010010
3222021020202102210211101120220
4231202330032121230000102
5202223412434130124020
61550010342401413510
760123103234602432
oct5542741631540022
9867222383741526
10200313221333010
115890a3a6318845
121a57206463a296
1387a05c02a5856
1437672d6a682c2
151825917320240
hexb62f0e66c012

200313221333010 has 128 divisors (see below), whose sum is σ = 507062260224000. Its totient is φ = 50504752795392.

The previous prime is 200313221332981. The next prime is 200313221333023. The reversal of 200313221333010 is 10333122313002.

It is a super-2 number, since 2×2003132213330102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660100396 + ... + 660403784.

It is an arithmetic number, because the mean of its divisors is an integer number (3961423908000).

Almost surely, 2200313221333010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200313221333010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253531130112000).

200313221333010 is an abundant number, since it is smaller than the sum of its proper divisors (306749038890990).

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

200313221333010 is a wasteful number, since it uses less digits than its factorization.

200313221333010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305720.

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

Adding to 200313221333010 its reverse (10333122313002), we get a palindrome (210646343646012).

The spelling of 200313221333010 in words is "two hundred trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 743 1486 1559 2229 3118 3715 4458 4677 7430 7795 9354 11145 14117 15590 22290 23385 28234 29621 42351 46770 59242 70585 84702 88863 141170 148105 177726 211755 296210 303389 423510 444315 606778 888630 910167 1158337 1516945 1820334 2316674 3033890 3475011 4550835 5764391 5791685 6950022 9101670 11528782 11583370 17293173 17375055 22008403 28821955 34586346 34750110 44016806 57643910 66025209 86465865 110042015 132050418 172931730 220084030 225418027 330126045 450836054 472983451 660252090 676254081 945966902 1127090135 1352508162 1418950353 2254180270 2364917255 2837900706 3381270405 4282942513 4729834510 6762540810 7094751765 8565885026 8986685569 12848827539 14189503530 17973371138 21414712565 25697655078 26960056707 42829425130 44933427845 53920113414 64244137695 89866855690 128488275390 134800283535 269600567070 351426704093 702853408186 1054280112279 1757133520465 2108560224558 3514267040930 5271400561395 6677107377767 10542801122790 13354214755534 20031322133301 33385536888835 40062644266602 66771073777670 100156610666505 200313221333010