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200321313320331 = 3376119190970829
BaseRepresentation
bin101101100011000011110000…
…101110001010110110001011
3222021021112022202022221101000
4231203003300232022312023
5202224031022202222311
61550014201345030043
760123510613423260
oct5543036056126613
9867245282287330
10200321313320331
1158912879004675
121a573742625323
1387a12ac8b5328
143767863639267
151825c3c93b056
hexb630f0b8ad8b

200321313320331 has 64 divisors (see below), whose sum is σ = 346533363302400. Its totient is φ = 112003283433600.

The previous prime is 200321313320327. The next prime is 200321313320393. The reversal of 200321313320331 is 133023313123002.

200321313320331 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 2 + 1 + 3 + 1 + 3 + 320 + 331 = 666.

200321313320331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200321313320331 - 22 = 200321313320327 is a prime.

It is a super-2 number, since 2×2003213133203312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200321313320295 and 200321313320304.

It is not an unprimeable number, because it can be changed into a prime (200321313340331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43283376 + ... + 47687453.

It is an arithmetic number, because the mean of its divisors is an integer number (5414583801600).

Almost surely, 2200321313320331 is an apocalyptic number.

200321313320331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200321313320331 is a deficient number, since it is larger than the sum of its proper divisors (146212049982069).

200321313320331 is a wasteful number, since it uses less digits than its factorization.

200321313320331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90971097 (or 90971091 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 200321313320331 its reverse (133023313123002), we get a palindrome (333344626443333).

The spelling of 200321313320331 in words is "two hundred trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 191 427 549 573 1281 1337 1647 1719 3843 4011 5157 11529 11651 12033 34953 36099 81557 104859 244671 314577 734013 2202039 90970829 272912487 636795803 818737461 1910387409 2456212383 5549220569 5731162227 16647661707 17193486681 17375428339 38844543983 49942985121 52126285017 116533631949 121627998373 149828955363 156378855051 349600895847 364883995119 469136565153 1048802687541 1059901128679 1094651985357 3179703386037 3283955956071 7419307900753 9539110158111 22257923702259 28617330474333 66773771106777 200321313320331