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12342388324321 = 1179831049163127
BaseRepresentation
bin1011001110011010111110…
…1010111111011111100001
31121200220212021010010002101
42303212233222333133201
53104204202402334241
642130003120050401
72412464613523336
oct263465752773741
947626767103071
1012342388324321
113a294174975a0
121474054a63a01
136b6b6132c1b3
1430953658c98d
151660c1ad2e31
hexb39afabf7e1

12342388324321 has 32 divisors (see below), whose sum is σ = 13812374016000. Its totient is φ = 10934348830080.

The previous prime is 12342388324309. The next prime is 12342388324379.

12342388324321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12342388324321 - 215 = 12342388291553 is a prime.

It is a super-2 number, since 2×123423883243212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12342388321321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75579660 + ... + 75742786.

It is an arithmetic number, because the mean of its divisors is an integer number (431636688000).

Almost surely, 212342388324321 is an apocalyptic number.

12342388324321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342388324321 is a deficient number, since it is larger than the sum of its proper divisors (1469985691679).

12342388324321 is a wasteful number, since it uses less digits than its factorization.

12342388324321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164349.

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 1234238 and 8324321, that added together give a palindrome (9558559).

The spelling of 12342388324321 in words is "twelve trillion, three hundred forty-two billion, three hundred eighty-eight million, three hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 11 79 83 869 913 1049 6557 11539 72127 82871 87067 163127 911581 957737 1794397 6878293 12887033 13539541 75661223 141757363 148934951 171120223 1069623739 1882322453 11765861129 13518497617 14202978509 148703473787 156232763599 1122035302211 12342388324321