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3131137 is a prime number
BaseRepresentation
bin1011111100011100000001
312220002010001
423330130001
51300144022
6151040001
735420452
oct13743401
95802101
103131137
111849519
121070001
13858259
145b7129
1541cb27
hex2fc701

3131137 has 2 divisors, whose sum is σ = 3131138. Its totient is φ = 3131136.

The previous prime is 3131123. The next prime is 3131153. The reversal of 3131137 is 7311313.

It is a happy number.

3131137 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., 1806336 + 1324801 = 1344^2 + 1151^2 .

It is an emirp because it is prime and its reverse (7311313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3131137 - 211 = 3129089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565568 + 1565569.

It is an arithmetic number, because the mean of its divisors is an integer number (1565569).

Almost surely, 23131137 is an apocalyptic number.

It is an amenable number.

3131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131137 is an equidigital number, since it uses as much as digits as its factorization.

3131137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 19.

The square root of 3131137 is about 1769.5019073174. The cubic root of 3131137 is about 146.2965293790.

The spelling of 3131137 in words is "three million, one hundred thirty-one thousand, one hundred thirty-seven".