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12364311346321 = 1110111128993111
BaseRepresentation
bin1011001111101100101001…
…1000101011110010010001
31121210000110010011000121011
42303323022120223302101
53110034102201040241
642144030342330521
72414202106243354
oct263731230536221
947700403130534
1012364311346321
113a377474664a0
121478352a29a41
136b8c4623b46c
1430a61601229b
151669565a8281
hexb3eca62bc91

12364311346321 has 8 divisors (see below), whose sum is σ = 13621887569088. Its totient is φ = 11128993110000.

The previous prime is 12364311346313. The next prime is 12364311346351.

12364311346321 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 12364311346321 - 23 = 12364311346313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12364311346351) 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, 5564495445 + ... + 5564497666.

It is an arithmetic number, because the mean of its divisors is an integer number (1702735946136).

Almost surely, 212364311346321 is an apocalyptic number.

12364311346321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12364311346321 is a deficient number, since it is larger than the sum of its proper divisors (1257576222767).

12364311346321 is a wasteful number, since it uses less digits than its factorization.

12364311346321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128993223.

The product of its digits is 186624, while the sum is 40.

The spelling of 12364311346321 in words is "twelve trillion, three hundred sixty-four billion, three hundred eleven million, three hundred forty-six thousand, three hundred twenty-one".

Divisors: 1 11 101 1111 11128993111 122418924221 1124028304211 12364311346321