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12300545520001 = 293531201577173
BaseRepresentation
bin1011001011111111000110…
…1001010111000110000001
31121112220212011111102022001
42302333301221113012001
53103013004123120001
642054443111344001
72406453661540234
oct262776151270601
947486764442261
1012300545520001
113a126a52a9382
121467b17982001
136b2c2355079b
143074c736541b
15164e7343a001
hexb2ff1a57181

12300545520001 has 8 divisors (see below), whose sum is σ = 12760749587880. Its totient is φ = 11842744607232.

The previous prime is 12300545519963. The next prime is 12300545520019. The reversal of 12300545520001 is 10002554500321.

It can be written as a sum of positive squares in 4 ways, for example, as 4702721867776 + 7597823652225 = 2168576^2 + 2756415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12300545520001 is a prime.

It is a super-3 number, since 3×123005455200013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12300545527001) 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, 600778350 + ... + 600798823.

It is an arithmetic number, because the mean of its divisors is an integer number (1595093698485).

Almost surely, 212300545520001 is an apocalyptic number.

It is an amenable number.

12300545520001 is a deficient number, since it is larger than the sum of its proper divisors (460204067879).

12300545520001 is a wasteful number, since it uses less digits than its factorization.

12300545520001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201577555.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 12300545520001 in words is "twelve trillion, three hundred billion, five hundred forty-five million, five hundred twenty thousand, one".

Divisors: 1 29 353 10237 1201577173 34845738017 424156742069 12300545520001