Search a number
-
+
2313020113 is a prime number
BaseRepresentation
bin1000100111011101…
…1110001011010001
312222012100121002121
42021313132023101
514214113120423
61021304014241
7111214226605
oct21167361321
95865317077
102313020113
11a87704278
12546761381
132ab283571
1417d29b505
15d80e445d
hex89dde2d1

2313020113 has 2 divisors, whose sum is σ = 2313020114. Its totient is φ = 2313020112.

The previous prime is 2313020107. The next prime is 2313020131. The reversal of 2313020113 is 3110203132.

2313020113 = 340072 + 340082.

Together with next prime (2313020131) 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., 1156544064 + 1156476049 = 34008^2 + 34007^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313020113 - 217 = 2312889041 is a prime.

It is a super-3 number, since 3×23130201133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2313020173) 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, 1156510056 + 1156510057.

It is an arithmetic number, because the mean of its divisors is an integer number (1156510057).

Almost surely, 22313020113 is an apocalyptic number.

2313020113 is the 34008-th centered square number.

It is an amenable number.

2313020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313020113 is an equidigital number, since it uses as much as digits as its factorization.

2313020113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2313020113 is about 48093.8677276012. The cubic root of 2313020113 is about 1322.4922521978.

Adding to 2313020113 its reverse (3110203132), we get a palindrome (5423223245).

The spelling of 2313020113 in words is "two billion, three hundred thirteen million, twenty thousand, one hundred thirteen".