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320124312113 = 17128891461001
BaseRepresentation
bin1001010100010001110…
…01010101101000110001
31010121022000101000011012
410222020321111220301
520221103310441423
6403021343000305
732061656520254
oct4521071255061
91117260330135
10320124312113
11113844912901
1252060b99095
13242591b00b8
14116cbb4709b
1584d92d3078
hex4a88e55a31

320124312113 has 8 divisors (see below), whose sum is σ = 338981684040. Its totient is φ = 301269888000.

The previous prime is 320124312089. The next prime is 320124312121. The reversal of 320124312113 is 311213421023.

It can be written as a sum of positive squares in 4 ways, for example, as 97626252304 + 222498059809 = 312452^2 + 471697^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 320124312113 - 212 = 320124308017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320124317113) 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 7 ways as a sum of consecutive naturals, for example, 511388 + ... + 949613.

It is an arithmetic number, because the mean of its divisors is an integer number (42372710505).

Almost surely, 2320124312113 is an apocalyptic number.

It is an amenable number.

320124312113 is a deficient number, since it is larger than the sum of its proper divisors (18857371927).

320124312113 is a wasteful number, since it uses less digits than its factorization.

320124312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473907.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 320124312113 its reverse (311213421023), we get a palindrome (631337733136).

The spelling of 320124312113 in words is "three hundred twenty billion, one hundred twenty-four million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 17 12889 219113 1461001 24837017 18830841889 320124312113