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12331300013 = 17725370589
BaseRepresentation
bin10110111110000000…
…01011010010101101
31011211101111221112022
423133000023102231
5200223303100023
65355342315525
7614403214664
oct133700132255
934741457468
1012331300013
11525877423a
122481888ba5
1312169a1236
1484da1bddb
154c28b37c8
hex2df00b4ad

12331300013 has 4 divisors (see below), whose sum is σ = 13056670620. Its totient is φ = 11605929408.

The previous prime is 12331299997. The next prime is 12331300019. The reversal of 12331300013 is 31000313321.

12331300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6451784329 + 5879515684 = 80323^2 + 76678^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331300013 - 24 = 12331299997 is a prime.

It is a super-2 number, since 2×123313000132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 725370589 = 12331300013 / (1 + 2 + 3 + 3 + 1 + 3 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331299964 and 12331300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331300019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362685278 + ... + 362685311.

It is an arithmetic number, because the mean of its divisors is an integer number (3264167655).

Almost surely, 212331300013 is an apocalyptic number.

It is an amenable number.

12331300013 is a deficient number, since it is larger than the sum of its proper divisors (725370607).

12331300013 is an equidigital number, since it uses as much as digits as its factorization.

12331300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725370606.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12331300013 its reverse (31000313321), we get a palindrome (43331613334).

The spelling of 12331300013 in words is "twelve billion, three hundred thirty-one million, three hundred thousand, thirteen".

Divisors: 1 17 725370589 12331300013