Search a number
-
+
3133791821 is a prime number
BaseRepresentation
bin1011101011001001…
…1101111001001101
322002101210010012202
42322302131321031
522404222314241
61234544011245
7140441535206
oct27262357115
98071703182
103133791821
111368a421a6
12735600b25
133ac329bb4
1421a2b25ad
151351c0d9b
hexbac9de4d

3133791821 has 2 divisors, whose sum is σ = 3133791822. Its totient is φ = 3133791820.

The previous prime is 3133791769. The next prime is 3133791839. The reversal of 3133791821 is 1281973313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2683758025 + 450033796 = 51805^2 + 21214^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133791821 - 218 = 3133529677 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133794821) 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, 1566895910 + 1566895911.

It is an arithmetic number, because the mean of its divisors is an integer number (1566895911).

Almost surely, 23133791821 is an apocalyptic number.

It is an amenable number.

3133791821 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133791821 is an equidigital number, since it uses as much as digits as its factorization.

3133791821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 3133791821 is about 55980.2806441697. The cubic root of 3133791821 is about 1463.3786488332.

The spelling of 3133791821 in words is "three billion, one hundred thirty-three million, seven hundred ninety-one thousand, eight hundred twenty-one".