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12330400403321 = 7111312318082321
BaseRepresentation
bin1011001101101110010100…
…1000101100111101111001
31121122202220210201122000022
42303123211020230331321
53104010130000401241
642120301401220225
72411561550055340
oct263334510547571
947582823648008
1012330400403321
113a24325636070
12147186a191675
136b59a0836610
14308b1a3d6b57
15165b1e44b54b
hexb36e522cf79

12330400403321 has 16 divisors (see below), whose sum is σ = 16555502640768. Its totient is φ = 8869019270400.

The previous prime is 12330400403317. The next prime is 12330400403323.

12330400403321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12330400403321 - 22 = 12330400403317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12330400403323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159040160 + ... + 6159042161.

It is an arithmetic number, because the mean of its divisors is an integer number (1034718915048).

Almost surely, 212330400403321 is an apocalyptic number.

12330400403321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12330400403321 is a deficient number, since it is larger than the sum of its proper divisors (4225102237447).

12330400403321 is a wasteful number, since it uses less digits than its factorization.

12330400403321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318082352.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 12330400 and 403321, that added together give a palindrome (12733721).

The spelling of 12330400403321 in words is "twelve trillion, three hundred thirty billion, four hundred million, four hundred three thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 12318082321 86226576247 135498905531 160135070173 948492338717 1120945491211 1761485771903 12330400403321