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320213323332 = 22337720758771
BaseRepresentation
bin1001010100011100011…
…00111000111001000100
31010121112012212020121000
410222032030320321010
520221244102321312
6403034242453300
732064120224220
oct4521614707104
91117465766530
10320213323332
111138900892a1
1252086964230
1324271776c66
14116d98b7780
1584e2016adc
hex4a8e338e44

320213323332 has 96 divisors (see below), whose sum is σ = 948928010240. Its totient is φ = 91475269920.

The previous prime is 320213323307. The next prime is 320213323393. The reversal of 320213323332 is 233323312023.

320213323332 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 1 + 3 + 323 + 332 = 666.

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 = 320213323296 and 320213323305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5419107 + ... + 5477877.

Almost surely, 2320213323332 is an apocalyptic number.

It is an amenable number.

320213323332 is an abundant number, since it is smaller than the sum of its proper divisors (628714686908).

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

320213323332 is a wasteful number, since it uses less digits than its factorization.

320213323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65998 (or 65990 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 320213323332 its reverse (233323312023), we get a palindrome (553536635355).

It can be divided in two parts, 320213 and 323332, that added together give a triangular number (643545 = T1134).

The spelling of 320213323332 in words is "three hundred twenty billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 7207 14414 21621 28828 43242 50449 58771 64863 86484 100898 117542 129726 151347 176313 194589 201796 235084 259452 302694 352626 389178 411397 454041 528939 605388 705252 778356 822794 908082 1057878 1234191 1362123 1586817 1645588 1816164 2115756 2468382 2724246 3173634 3702573 4936764 5448492 6347268 7405146 11107719 14810292 22215438 44430876 423562597 847125194 1270687791 1694250388 2541375582 2964938179 3812063373 5082751164 5929876358 7624126746 8894814537 11436190119 11859752716 15248253492 17789629074 22872380238 26684443611 35579258148 45744760476 53368887222 80053330833 106737774444 160106661666 320213323332