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2300331213 = 32313816589
BaseRepresentation
bin1000100100011100…
…0100010011001101
312221022110221012100
42021013010103031
514202341044323
61020132025313
7111001330665
oct21107042315
95838427170
102300331213
11a80527984
12542462239
132a875cb3b
1417b7171a5
15d6e39943
hex891c44cd

2300331213 has 12 divisors (see below), whose sum is σ = 3333320380. Its totient is φ = 1528652736.

The previous prime is 2300331203. The next prime is 2300331221. The reversal of 2300331213 is 3121330032.

It can be written as a sum of positive squares in 2 ways, for example, as 66634569 + 2233696644 = 8163^2 + 47262^2 .

It is not a de Polignac number, because 2300331213 - 29 = 2300330701 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300331203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405478 + ... + 411111.

Almost surely, 22300331213 is an apocalyptic number.

It is an amenable number.

2300331213 is a deficient number, since it is larger than the sum of its proper divisors (1032989167).

2300331213 is a wasteful number, since it uses less digits than its factorization.

2300331213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816908 (or 816905 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2300331213 is about 47961.7682430496. The cubic root of 2300331213 is about 1320.0694815354.

Adding to 2300331213 its reverse (3121330032), we get a palindrome (5421661245).

The spelling of 2300331213 in words is "two billion, three hundred million, three hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 313 939 2817 816589 2449767 7349301 255592357 766777071 2300331213