Search a number
-
+
2313000461 is a prime number
BaseRepresentation
bin1000100111011101…
…1001011000001101
312222012022121010202
42021313121120031
514214112003321
61021303343245
7111214115402
oct21167313015
95865277122
102313000461
11a876a0532
12546751b25
132ab277635
1417d2942a9
15d80dd70b
hex89dd960d

2313000461 has 2 divisors, whose sum is σ = 2313000462. Its totient is φ = 2313000460.

The previous prime is 2313000439. The next prime is 2313000463. The reversal of 2313000461 is 1640003132.

2313000461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2302176361 + 10824100 = 47981^2 + 3290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2313000461 is a prime.

It is a super-2 number, since 2×23130004612 = 10699942265172425042, which contains 22 as substring.

Together with 2313000463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2313000463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156500230 + 1156500231.

It is an arithmetic number, because the mean of its divisors is an integer number (1156500231).

Almost surely, 22313000461 is an apocalyptic number.

It is an amenable number.

2313000461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313000461 is an equidigital number, since it uses as much as digits as its factorization.

2313000461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2313000461 is about 48093.6634183756. The cubic root of 2313000461 is about 1322.4885067784.

Adding to 2313000461 its reverse (1640003132), we get a palindrome (3953003593).

The spelling of 2313000461 in words is "two billion, three hundred thirteen million, four hundred sixty-one", and thus it is an aban number.