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213312303030200 = 235211190095100749
BaseRepresentation
bin110000100000000110100100…
…000011000101111110111000
31000222021110100011101022020012
4300200012210003011332320
5210424402044033431300
62033402152535521052
762634206503125353
oct6040064403057670
91028243304338205
10213312303030200
1161a71270024aa0
121bb1142a829188
13920435792980a
143a96528b2b29a
15199db21062435
hexc201a40c5fb8

213312303030200 has 96 divisors (see below), whose sum is σ = 541066136850000. Its totient is φ = 77564014387200.

The previous prime is 213312303030149. The next prime is 213312303030217. The reversal of 213312303030200 is 2030303213312.

It is a super-2 number, since 2×2133123030302002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39269426 + ... + 44370174.

Almost surely, 2213312303030200 is an apocalyptic number.

213312303030200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312303030200 is an abundant number, since it is smaller than the sum of its proper divisors (327753833819800).

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

213312303030200 is a wasteful number, since it uses less digits than its factorization.

213312303030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119785 (or 5119776 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213312303030200 its reverse (2030303213312), we get a palindrome (215342606243512).

The spelling of 213312303030200 in words is "two hundred thirteen trillion, three hundred twelve billion, three hundred three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 19009 38018 76036 95045 152072 190090 209099 380180 418198 475225 760360 836396 950450 1045495 1672792 1900900 2090990 3801800 4181980 5100749 5227475 8363960 10201498 10454950 20402996 20909900 25503745 40805992 41819800 51007490 56108239 102014980 112216478 127518725 204029960 224432956 255037450 280541195 448865912 510074900 561082390 1020149800 1122164780 1402705975 2244329560 2805411950 5610823900 11221647800 96960137741 193920275482 387840550964 484800688705 775681101928 969601377410 1066561515151 1939202754820 2133123030302 2424003443525 3878405509640 4266246060604 4848006887050 5332807575755 8532492121208 9696013774100 10665615151510 19392027548200 21331230303020 26664037878775 42662460606040 53328075757550 106656151515100 213312303030200