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12224066673013 = 136013037515173
BaseRepresentation
bin1011000111100010001100…
…1001101101100101110101
31121021121110020001110011121
42301320203021231211311
53100234342032014023
641555354140303541
72401105524215656
oct261704311554565
947247406043147
1012224066673013
113993219a57708
121455133241bb1
136a8955a80480
143039100d352d
15162e99155d5d
hexb1e2326d975

12224066673013 has 16 divisors (see below), whose sum is σ = 13190651101936. Its totient is φ = 11261247782400.

The previous prime is 12224066672957. The next prime is 12224066673019. The reversal of 12224066673013 is 31037666042221.

It can be written as a sum of positive squares in 8 ways, for example, as 473554551409 + 11750512121604 = 688153^2 + 3427902^2 .

It is a cyclic number.

It is not a de Polignac number, because 12224066673013 - 241 = 10025043417461 is a prime.

It is a super-2 number, since 2×122240666730132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224066673019) 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 15 ways as a sum of consecutive naturals, for example, 23470495 + ... + 23985667.

It is an arithmetic number, because the mean of its divisors is an integer number (824415693871).

Almost surely, 212224066673013 is an apocalyptic number.

12224066673013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12224066673013 is a deficient number, since it is larger than the sum of its proper divisors (966584428923).

12224066673013 is a wasteful number, since it uses less digits than its factorization.

12224066673013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518824.

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 12224066673013 in words is "twelve trillion, two hundred twenty-four billion, sixty-six million, six hundred seventy-three thousand, thirteen".

Divisors: 1 13 601 3037 7813 39481 515173 1825237 6697249 23728081 309618973 1564580401 4025046649 20339545213 940312821001 12224066673013