Search a number
-
+
2300113331 is a prime number
BaseRepresentation
bin1000100100011000…
…1111000110110011
312221022001212022122
42021012033012303
514202312111311
61020123224455
7110666432525
oct21106170663
95838055278
102300113331
11a8039920a
1254237812b
132a86b4909
1417b69ba15
15d6de50db
hex8918f1b3

2300113331 has 2 divisors, whose sum is σ = 2300113332. Its totient is φ = 2300113330.

The previous prime is 2300113303. The next prime is 2300113351. The reversal of 2300113331 is 1333110032.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2300113331 - 210 = 2300112307 is a prime.

It is a super-3 number, since 3×23001133313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (2300113351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150056665 + 1150056666.

It is an arithmetic number, because the mean of its divisors is an integer number (1150056666).

Almost surely, 22300113331 is an apocalyptic number.

2300113331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300113331 is an equidigital number, since it uses as much as digits as its factorization.

2300113331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2300113331 is about 47959.4967759254. The cubic root of 2300113331 is about 1320.0278022534.

Adding to 2300113331 its reverse (1333110032), we get a palindrome (3633223363).

The spelling of 2300113331 in words is "two billion, three hundred million, one hundred thirteen thousand, three hundred thirty-one".