Search a number
-
+
3131014217 is a prime number
BaseRepresentation
bin1011101010011111…
…0111110001001001
322002012120000001112
42322213313301021
522403014423332
61234404300105
7140406116222
oct27247676111
98065500045
103131014217
111367415361
127346a1635
133ab896846
14219b8c249
15134d22db2
hexba9f7c49

3131014217 has 2 divisors, whose sum is σ = 3131014218. Its totient is φ = 3131014216.

The previous prime is 3131014207. The next prime is 3131014223. The reversal of 3131014217 is 7124101313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2075349136 + 1055665081 = 45556^2 + 32491^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131014217 - 26 = 3131014153 is a prime.

It is a super-2 number, since 2×31310142172 = 19606500054112246178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131014192 and 3131014201.

It is not a weakly prime, because it can be changed into another prime (3131014207) 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, 1565507108 + 1565507109.

It is an arithmetic number, because the mean of its divisors is an integer number (1565507109).

Almost surely, 23131014217 is an apocalyptic number.

It is an amenable number.

3131014217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131014217 is an equidigital number, since it uses as much as digits as its factorization.

3131014217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 3131014217 is about 55955.4663728219. The cubic root of 3131014217 is about 1462.9461708523.

The spelling of 3131014217 in words is "three billion, one hundred thirty-one million, fourteen thousand, two hundred seventeen".