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2302300013 = 1331047929
BaseRepresentation
bin1000100100111010…
…0100111101101101
312221110011221212212
42021032210331231
514203342100023
61020242140205
7111024140636
oct21116447555
95843157785
102302300013
11a81652092
12543051665
132a8c9c000
1417baaa88d
15d71c7e78
hex893a4f6d

2302300013 has 8 divisors (see below), whose sum is σ = 2494073400. Its totient is φ = 2125197984.

The previous prime is 2302299943. The next prime is 2302300027. The reversal of 2302300013 is 3100032032.

It can be written as a sum of positive squares in 4 ways, for example, as 1022592484 + 1279707529 = 31978^2 + 35773^2 .

It is not a de Polignac number, because 2302300013 - 28 = 2302299757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302300073) 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, 521768 + ... + 526161.

It is an arithmetic number, because the mean of its divisors is an integer number (311759175).

Almost surely, 22302300013 is an apocalyptic number.

It is an amenable number.

2302300013 is a deficient number, since it is larger than the sum of its proper divisors (191773387).

2302300013 is an equidigital number, since it uses as much as digits as its factorization.

2302300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047968 (or 1047942 counting only the distinct ones).

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

The square root of 2302300013 is about 47982.2885344165. The cubic root of 2302300013 is about 1320.4459797359.

Adding to 2302300013 its reverse (3100032032), we get a palindrome (5402332045).

The spelling of 2302300013 in words is "two billion, three hundred two million, three hundred thousand, thirteen".

Divisors: 1 13 169 2197 1047929 13623077 177100001 2302300013