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12342300324321 = 311374009100737
BaseRepresentation
bin1011001110011010101001…
…1011010011000111100001
31121200220122010112020210010
42303212222123103013201
53104204012340334241
642125550253555133
72412462464530512
oct263465233230741
947626563466703
1012342300324321
113a29381851920
12147402b4a5aa9
136b6b4902a6a6
14309528a02a09
151660b8eedd16
hexb39aa6d31e1

12342300324321 has 8 divisors (see below), whose sum is σ = 17952436835424. Its totient is φ = 7480182014720.

The previous prime is 12342300324301. The next prime is 12342300324323.

It is a happy number.

12342300324321 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 12342300324321 - 218 = 12342300062177 is a prime.

It is a super-2 number, since 2×123423003243212 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12342300324323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 187004550336 + ... + 187004550401.

It is an arithmetic number, because the mean of its divisors is an integer number (2244054604428).

Almost surely, 212342300324321 is an apocalyptic number.

12342300324321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342300324321 is a deficient number, since it is larger than the sum of its proper divisors (5610136511103).

12342300324321 is a wasteful number, since it uses less digits than its factorization.

12342300324321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374009100751.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 12342300 and 324321, that added together give a palindrome (12666621).

The spelling of 12342300324321 in words is "twelve trillion, three hundred forty-two billion, three hundred million, three hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 11 33 374009100737 1122027302211 4114100108107 12342300324321