Search a number
-
+
3131892809 is a prime number
BaseRepresentation
bin1011101010101100…
…1110010001001001
322002021012122020222
42322223032101021
522403231032214
61234435155425
7140416435553
oct27253162111
98067178228
103131892809
111367965471
12734a45b75
133abb13716
14219d3a4d3
15134e4838e
hexbaace449

3131892809 has 2 divisors, whose sum is σ = 3131892810. Its totient is φ = 3131892808.

The previous prime is 3131892791. The next prime is 3131892851. The reversal of 3131892809 is 9082981313.

3131892809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2621132809 + 510760000 = 51197^2 + 22600^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131892809 - 212 = 3131888713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131892809.

It is not a weakly prime, because it can be changed into another prime (3131892859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565946404 + 1565946405.

It is an arithmetic number, because the mean of its divisors is an integer number (1565946405).

Almost surely, 23131892809 is an apocalyptic number.

It is an amenable number.

3131892809 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131892809 is an equidigital number, since it uses as much as digits as its factorization.

3131892809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 3131892809 is about 55963.3166368828. The cubic root of 3131892809 is about 1463.0829968673.

The spelling of 3131892809 in words is "three billion, one hundred thirty-one million, eight hundred ninety-two thousand, eight hundred nine".