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12301011313002 = 232683389517389
BaseRepresentation
bin1011001100000000110101…
…1010001110000101101010
31121112222001121222011011200
42303000031122032011222
53103014432344004002
642055001231105030
72406501345654306
oct263001532160552
947488047864150
1012301011313002
113a12914221575
121468027972176
136b2c98bb9a49
1430752d174d06
15164e9e297b1c
hexb300d68e16a

12301011313002 has 12 divisors (see below), whose sum is σ = 26652191178210. Its totient is φ = 4100337104328.

The previous prime is 12301011312923. The next prime is 12301011313009. The reversal of 12301011313002 is 20031311010321.

12301011313002 is a `hidden beast` number, since 1 + 230 + 1 + 0 + 1 + 131 + 300 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9094802346081 + 3206208966921 = 3015759^2 + 1790589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 683389517389 = 12301011313002 / (1 + 2 + 3 + 0 + 1 + 0 + 1 + 1 + 3 + 1 + 3 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (12301011313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 341694758677 + ... + 341694758712.

Almost surely, 212301011313002 is an apocalyptic number.

12301011313002 is an abundant number, since it is smaller than the sum of its proper divisors (14351179865208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12301011313002 is a wasteful number, since it uses less digits than its factorization.

12301011313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683389517397 (or 683389517394 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12301011313002 its reverse (20031311010321), we get a palindrome (32332322323323).

The spelling of 12301011313002 in words is "twelve trillion, three hundred one billion, eleven million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 683389517389 1366779034778 2050168552167 4100337104334 6150505656501 12301011313002