Search a number
-
+
2300331029 is a prime number
BaseRepresentation
bin1000100100011100…
…0100010000010101
312221022110220221112
42021013010100111
514202341043104
61020132024405
7111001330313
oct21107042025
95838426845
102300331029
11a80527827
12542462105
132a875ca29
1417b7170b3
15d6e3986e
hex891c4415

2300331029 has 2 divisors, whose sum is σ = 2300331030. Its totient is φ = 2300331028.

The previous prime is 2300331017. The next prime is 2300331031. The reversal of 2300331029 is 9201330032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2275480804 + 24850225 = 47702^2 + 4985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2300331029 is a prime.

Together with 2300331031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2300330995 and 2300331013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2300331629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150165514 + 1150165515.

It is an arithmetic number, because the mean of its divisors is an integer number (1150165515).

Almost surely, 22300331029 is an apocalyptic number.

It is an amenable number.

2300331029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300331029 is an equidigital number, since it uses as much as digits as its factorization.

2300331029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 2300331029 is about 47961.7663248551. The cubic root of 2300331029 is about 1320.0694463387.

The spelling of 2300331029 in words is "two billion, three hundred million, three hundred thirty-one thousand, twenty-nine".