Search a number
-
+
3132000017 is a prime number
BaseRepresentation
bin1011101010101110…
…1000011100010001
322002021102002022122
42322223220130101
522403243000032
61234441344025
7140420363246
oct27253503421
98067362278
103132000017
111367a28a73
12734a98015
133abb50463
14219d675cd
15134e6a012
hexbaae8711

3132000017 has 2 divisors, whose sum is σ = 3132000018. Its totient is φ = 3132000016.

The previous prime is 3131999993. The next prime is 3132000037. The reversal of 3132000017 is 7100002313.

3132000017 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., 1757370241 + 1374629776 = 41921^2 + 37076^2 .

It is a cyclic number.

It is not a de Polignac number, because 3132000017 - 212 = 3131995921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131999959 and 3132000004.

It is not a weakly prime, because it can be changed into another prime (3132000037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566000008 + 1566000009.

It is an arithmetic number, because the mean of its divisors is an integer number (1566000009).

Almost surely, 23132000017 is an apocalyptic number.

It is an amenable number.

3132000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3132000017 is an equidigital number, since it uses as much as digits as its factorization.

3132000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 3132000017 is about 55964.2744704155. The cubic root of 3132000017 is about 1463.0996909692.

The spelling of 3132000017 in words is "three billion, one hundred thirty-two million, seventeen", and thus it is an aban number.