Search a number
-
+
3131366977 is a prime number
BaseRepresentation
bin1011101010100100…
…1101111001000001
322002020012220221201
42322221031321001
522403112220402
61234420021201
7140412115534
oct27251157101
98066186851
103131366977
1113676363a2
12734831801
133ab98b28b
14219c40a1b
15134d92687
hexbaa4de41

3131366977 has 2 divisors, whose sum is σ = 3131366978. Its totient is φ = 3131366976.

The previous prime is 3131366939. The next prime is 3131366981. The reversal of 3131366977 is 7796631313.

It is a happy number.

3131366977 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., 3129731136 + 1635841 = 55944^2 + 1279^2 .

It is an emirp because it is prime and its reverse (7796631313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131366977 is a prime.

It is a super-2 number, since 2×31313669772 = 19610918289292237058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3131366377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565683488 + 1565683489.

It is an arithmetic number, because the mean of its divisors is an integer number (1565683489).

Almost surely, 23131366977 is an apocalyptic number.

It is an amenable number.

3131366977 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131366977 is an equidigital number, since it uses as much as digits as its factorization.

3131366977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 428652, while the sum is 46.

The square root of 3131366977 is about 55958.6184336247. The cubic root of 3131366977 is about 1463.0011103996.

The spelling of 3131366977 in words is "three billion, one hundred thirty-one million, three hundred sixty-six thousand, nine hundred seventy-seven".