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2023300013 = 7241291837
BaseRepresentation
bin111100010011001…
…0001101110101101
312020000012021211112
41320212101232231
513120431100023
6532434201405
7101065523600
oct17046215655
95200167745
102023300013
11949111279
12485723265
13263244857
14152a02337
15bc966478
hex78991bad

2023300013 has 6 divisors (see below), whose sum is σ = 2353634766. Its totient is φ = 1734257112.

The previous prime is 2023300009. The next prime is 2023300051. The reversal of 2023300013 is 3100033202.

It can be written as a sum of positive squares in only one way, i.e., 1659177289 + 364122724 = 40733^2 + 19082^2 .

It is not a de Polignac number, because 2023300013 - 22 = 2023300009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023303013) 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 5 ways as a sum of consecutive naturals, for example, 20645870 + ... + 20645967.

It is an arithmetic number, because the mean of its divisors is an integer number (392272461).

Almost surely, 22023300013 is an apocalyptic number.

It is an amenable number.

2023300013 is a deficient number, since it is larger than the sum of its proper divisors (330334753).

2023300013 is an equidigital number, since it uses as much as digits as its factorization.

2023300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41291851 (or 41291844 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2023300013 is about 44981.1072896166. The cubic root of 2023300013 is about 1264.7948680797.

Adding to 2023300013 its reverse (3100033202), we get a palindrome (5123333215).

The spelling of 2023300013 in words is "two billion, twenty-three million, three hundred thousand, thirteen".

Divisors: 1 7 49 41291837 289042859 2023300013