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12332300323321 = 117115790397341
BaseRepresentation
bin1011001101110101011001…
…1000010100100111111001
31121122221211012202120021201
42303131112120110213321
53104023022340321241
642121214111134201
72411656620112606
oct263352630244771
947587735676251
1012332300323321
113a25110037090
1214720ba514361
136b5c1433c934
14308c5a87d6ad
15165bd1140931
hexb37566149f9

12332300323321 has 8 divisors (see below), whose sum is σ = 13642903303488. Its totient is φ = 11053278138000.

The previous prime is 12332300323319. The next prime is 12332300323339.

12332300323321 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12332300323321 - 21 = 12332300323319 is a prime.

It is a super-2 number, since 2×123323003233212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12332300323321.

It is not an unprimeable number, because it can be changed into a prime (12332300324321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7895197890 + ... + 7895199451.

It is an arithmetic number, because the mean of its divisors is an integer number (1705362912936).

Almost surely, 212332300323321 is an apocalyptic number.

12332300323321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12332300323321 is a deficient number, since it is larger than the sum of its proper divisors (1310602980167).

12332300323321 is a wasteful number, since it uses less digits than its factorization.

12332300323321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15790397423.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 12332300 and 323321, that added together give a palindrome (12655621).

The spelling of 12332300323321 in words is "twelve trillion, three hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 11 71 781 15790397341 173694370751 1121118211211 12332300323321