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12335066053321 = 111121369641211
BaseRepresentation
bin1011001101111111101100…
…1110101111101011001001
31121200012221221222012121011
42303133323032233223021
53104044203402201241
642122352350243521
72412115302326434
oct263377316575311
947605857865534
1012335066053321
113a262aa237a60
1214727507b65a1
136b626532b46b
1430903dd0281b
15165ce3d5b281
hexb37fb3afac9

12335066053321 has 4 divisors (see below), whose sum is σ = 13456435694544. Its totient is φ = 11213696412100.

The previous prime is 12335066053309. The next prime is 12335066053357.

12335066053321 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12335066053321 - 213 = 12335066045129 is a prime.

It is a super-2 number, since 2×123350660533212 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12335066053301) 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 3 ways as a sum of consecutive naturals, for example, 560684820595 + ... + 560684820616.

It is an arithmetic number, because the mean of its divisors is an integer number (3364108923636).

Almost surely, 212335066053321 is an apocalyptic number.

12335066053321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12335066053321 is a deficient number, since it is larger than the sum of its proper divisors (1121369641223).

12335066053321 is a wasteful number, since it uses less digits than its factorization.

12335066053321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121369641222.

The product of its (nonzero) digits is 291600, while the sum is 40.

It can be divided in two parts, 1233506 and 6053321, that added together give a palindrome (7286827).

The spelling of 12335066053321 in words is "twelve trillion, three hundred thirty-five billion, sixty-six million, fifty-three thousand, three hundred twenty-one".

Divisors: 1 11 1121369641211 12335066053321