Search a number
-
+
311457484829 is a prime number
BaseRepresentation
bin1001000100001000101…
…00000001000000011101
31002202221000012120012002
410202010110001000131
520100331104003304
6355025342452045
731334130640241
oct4420424010035
91082830176162
10311457484829
111100a76a3227
1250442594025
13234a7773a2a
1411108a9c421
15817d4b931e
hex488450101d

311457484829 has 2 divisors, whose sum is σ = 311457484830. Its totient is φ = 311457484828.

The previous prime is 311457484787. The next prime is 311457484831. The reversal of 311457484829 is 928484754113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309770164900 + 1687319929 = 556570^2 + 41077^2 .

It is a cyclic number.

It is not a de Polignac number, because 311457484829 - 228 = 311189049373 is a prime.

Together with 311457484831, 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 (311457484879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155728742414 + 155728742415.

It is an arithmetic number, because the mean of its divisors is an integer number (155728742415).

Almost surely, 2311457484829 is an apocalyptic number.

It is an amenable number.

311457484829 is a deficient number, since it is larger than the sum of its proper divisors (1).

311457484829 is an equidigital number, since it uses as much as digits as its factorization.

311457484829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7741440, while the sum is 56.

The spelling of 311457484829 in words is "three hundred eleven billion, four hundred fifty-seven million, four hundred eighty-four thousand, eight hundred twenty-nine".