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12303323003322 = 23213536737147253
BaseRepresentation
bin1011001100001001011100…
…1100100111100110111010
31121120012000201211012010200
42303002113030213212322
53103034201142101242
642100022450423030
72406612546005241
oct263022714474672
947505021735120
1012303323003322
113a138a00a773a
121468571b91a76
136b3276ac5c40
143076ac1a7958
151650871c804c
hexb30973279ba

12303323003322 has 96 divisors (see below), whose sum is σ = 29253949674768. Its totient is φ = 3713634183168.

The previous prime is 12303323003317. The next prime is 12303323003351. The reversal of 12303323003322 is 22330032330321.

12303323003322 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 32 + 300 + 3 + 322 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2681049286881 + 9622273716441 = 1637391^2 + 3101979^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83478648 + ... + 83625900.

Almost surely, 212303323003322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303323003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626974837384).

12303323003322 is an abundant number, since it is smaller than the sum of its proper divisors (16950626671446).

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

12303323003322 is a wasteful number, since it uses less digits than its factorization.

12303323003322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154064 (or 154061 counting only the distinct ones).

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

Adding to 12303323003322 its reverse (22330032330321), we get a palindrome (34633355333643).

The spelling of 12303323003322 in words is "twelve trillion, three hundred three billion, three hundred twenty-three million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 6737 12402 13474 20211 40422 60633 87581 121266 147253 175162 262743 294506 357061 441759 525486 714122 788229 883518 1071183 1325277 1576458 1914289 2142366 2650554 3213549 3828578 4641793 5742867 6427098 7804409 9283586 11485734 13925379 15608818 17228601 23413227 27850758 34457202 41776137 46826454 70239681 83552274 101457317 140479362 202914634 304371951 608743902 913115853 992043461 1826231706 1984086922 2976130383 5952260766 8928391149 12896564993 17856782298 25793129986 38689694979 52578303433 77379389958 105156606866 116069084937 157734910299 232138169874 315469820598 473204730897 683517944629 946409461794 1367035889258 2050553833887 4101107667774 6151661501661 12303323003322