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2331300313 is a prime number
BaseRepresentation
bin1000101011110100…
…1101000111011001
320000110202022211001
42022331031013121
514233303102223
61023155505001
7111525503626
oct21275150731
96013668731
102331300313
11a96a5a481
125508b8161
132b1cb3c54
1418189934d
15d9a059ad
hex8af4d1d9

2331300313 has 2 divisors, whose sum is σ = 2331300314. Its totient is φ = 2331300312.

The previous prime is 2331300311. The next prime is 2331300319. The reversal of 2331300313 is 3130031332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1359544384 + 971755929 = 36872^2 + 31173^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331300313 - 21 = 2331300311 is a prime.

It is a super-2 number, since 2×23313003132 = 10869922298787795938, which contains 22 as substring.

Together with 2331300311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2331300311) 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 as a sum of consecutive naturals, namely, 1165650156 + 1165650157.

It is an arithmetic number, because the mean of its divisors is an integer number (1165650157).

Almost surely, 22331300313 is an apocalyptic number.

It is an amenable number.

2331300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331300313 is an equidigital number, since it uses as much as digits as its factorization.

2331300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 2331300313 is about 48283.5408084370. The cubic root of 2331300313 is about 1325.9670762133.

Adding to 2331300313 its reverse (3130031332), we get a palindrome (5461331645).

The spelling of 2331300313 in words is "two billion, three hundred thirty-one million, three hundred thousand, three hundred thirteen".