Search a number
-
+
2355000313 is a prime number
BaseRepresentation
bin1000110001011110…
…0111001111111001
320002010100102002211
42030113213033321
514310340002223
61025403455121
7112234113061
oct21427471771
96063312084
102355000313
11aa9377656
125588274a1
132b6b91513
14184aa83a1
15dbb37d0d
hex8c5e73f9

2355000313 has 2 divisors, whose sum is σ = 2355000314. Its totient is φ = 2355000312.

The previous prime is 2355000311. The next prime is 2355000331. The reversal of 2355000313 is 3130005532.

It is a happy number.

Together with next prime (2355000331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2228595264 + 126405049 = 47208^2 + 11243^2 .

It is a cyclic number.

It is not a de Polignac number, because 2355000313 - 21 = 2355000311 is a prime.

Together with 2355000311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2355000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1177500156 + 1177500157.

It is an arithmetic number, because the mean of its divisors is an integer number (1177500157).

Almost surely, 22355000313 is an apocalyptic number.

It is an amenable number.

2355000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2355000313 is an equidigital number, since it uses as much as digits as its factorization.

2355000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 2355000313 is about 48528.3454591232. The cubic root of 2355000313 is about 1330.4451960909.

Adding to 2355000313 its reverse (3130005532), we get a palindrome (5485005845).

The spelling of 2355000313 in words is "two billion, three hundred fifty-five million, three hundred thirteen", and thus it is an aban number.