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320300201221 = 7112131011791609
BaseRepresentation
bin1001010100100110110…
…00010011010100000101
31010121202021100002122121
410222103120103110011
520221433322414341
6403051024525541
732066223534430
oct4522330232405
91117667302577
10320300201221
11113925127a00
12520aba808b1
1324286774ab0
1411707250817
1584e99784d1
hex4a93613505

320300201221 has 96 divisors (see below), whose sum is σ = 440319801600. Its totient is φ = 226689408000.

The previous prime is 320300201161. The next prime is 320300201239. The reversal of 320300201221 is 122102003023.

It is not a de Polignac number, because 320300201221 - 223 = 320291812613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320300201195 and 320300201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320300201281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199067065 + ... + 199068673.

It is an arithmetic number, because the mean of its divisors is an integer number (4586664600).

Almost surely, 2320300201221 is an apocalyptic number.

It is an amenable number.

320300201221 is a deficient number, since it is larger than the sum of its proper divisors (120019600379).

320300201221 is a wasteful number, since it uses less digits than its factorization.

320300201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 320300201221 its reverse (122102003023), we get a palindrome (442402204244).

The spelling of 320300201221 in words is "three hundred twenty billion, three hundred million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 101 121 143 179 707 847 1001 1111 1253 1313 1573 1609 1969 2327 7777 9191 11011 11263 12221 13783 14443 16289 17699 18079 20917 21659 25597 85547 101101 123893 126553 146419 151613 158873 162509 179179 194689 198869 230087 235027 281567 288011 1112111 1137563 1362823 1392083 1610609 1645189 1787599 1970969 2016077 2112617 2187559 2530957 2585297 3168121 3744143 12513193 14788319 15312913 17716699 18097079 19663589 22176847 23238787 26209001 28438267 29089111 34849331 41185573 137645123 162671509 199067869 203623777 243945317 255626657 288299011 319980221 378158443 453041303 1789386599 2239861547 2647109101 3171289121 3519782431 4159742873 24638477017 29118200111 45757171603 320300201221