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213313220230240 = 25513223945803677
BaseRepresentation
bin110000100000000111011010…
…101101111011110001100000
31000222021112201002020220011001
4300200013122231323301200
5210424410433334331430
62033402423542401344
762634241311162064
oct6040073255736140
91028245632226131
10213313220230240
1161a716a0834a59
121bb11645a30254
139204472966030
143a965b4883aa4
15199db7683a3ca
hexc201dab7bc60

213313220230240 has 96 divisors (see below), whose sum is σ = 542960463306240. Its totient is φ = 78726625449984.

The previous prime is 213313220230181. The next prime is 213313220230247. The reversal of 213313220230240 is 42032022313312.

It is a super-2 number, since 2×2133132202302402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213313220230199 and 213313220230208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313220230247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18244719 + ... + 27558958.

It is an arithmetic number, because the mean of its divisors is an integer number (5655838159440).

Almost surely, 2213313220230240 is an apocalyptic number.

213313220230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313220230240 is an abundant number, since it is smaller than the sum of its proper divisors (329647243076000).

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

213313220230240 is a wasteful number, since it uses less digits than its factorization.

213313220230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45805944 (or 45805936 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213313220230240 its reverse (42032022313312), we get a palindrome (255345242543552).

The spelling of 213313220230240 in words is "two hundred thirteen trillion, three hundred thirteen billion, two hundred twenty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2239 4478 8956 11195 17912 22390 29107 35824 44780 58214 71648 89560 116428 145535 179120 232856 291070 358240 465712 582140 931424 1164280 2328560 4657120 45803677 91607354 183214708 229018385 366429416 458036770 595447801 732858832 916073540 1190895602 1465717664 1832147080 2381791204 2977239005 3664294160 4763582408 5954478010 7328588320 9527164816 11908956020 19054329632 23817912040 47635824080 95271648160 102554432803 205108865606 410217731212 512772164015 820435462424 1025544328030 1333207626439 1640870924848 2051088656060 2666415252878 3281741849696 4102177312120 5332830505756 6666038132195 8204354624240 10665661011512 13332076264390 16408709248480 21331322023024 26664152528780 42662644046048 53328305057560 106656610115120 213313220230240