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220113023202 = 232194136742773
BaseRepresentation
bin1100110011111111000…
…0100011000011100010
3210001011001111010102200
43030333300203003202
512101242413220302
6245041333554030
721621414553422
oct3147760430342
9701131433380
10220113023202
1185393077226
12367ab4a5916
13179ab24a237
14a9213c8482
155ad40b881c
hex333fc230e2

220113023202 has 96 divisors (see below), whose sum is σ = 515669656320. Its totient is φ = 67627664640.

The previous prime is 220113023171. The next prime is 220113023203. The reversal of 220113023202 is 202320311022.

220113023202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220113023203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5124688 + ... + 5167460.

It is an arithmetic number, because the mean of its divisors is an integer number (5371558920).

Almost surely, 2220113023202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220113023202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257834828160).

220113023202 is an abundant number, since it is smaller than the sum of its proper divisors (295556633118).

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

220113023202 is a wasteful number, since it uses less digits than its factorization.

220113023202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43208 (or 43205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220113023202 its reverse (202320311022), we get a palindrome (422433334224).

The spelling of 220113023202 in words is "two hundred twenty billion, one hundred thirteen million, twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 367 369 734 738 779 1101 1558 2202 2337 3303 4674 6606 6973 7011 13946 14022 15047 20919 30094 41838 42773 45141 62757 85546 90282 125514 128319 135423 256638 270846 285893 384957 571786 769914 812687 857679 1625374 1715358 1753693 2438061 2573037 3507386 4876122 5146074 5261079 7314183 10522158 14628366 15697691 15783237 31395382 31566474 33320167 47093073 66640334 94186146 99960501 141279219 199921002 282558438 298256129 299881503 596512258 599763006 643605331 894768387 1287210662 1789536774 1930815993 2684305161 3861631986 5368610322 5792447979 11584895958 12228501289 24457002578 36685503867 73371007734 110056511601 220113023202