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3131382829 is a prime number
BaseRepresentation
bin1011101010100101…
…0001110000101101
322002020020201200211
42322221101300231
522403113222304
61234420222421
7140412213001
oct27251216055
98066221624
103131382829
1113676472a3
1273483aa11
133ab995563
14219c46701
15134d97204
hexbaa51c2d

3131382829 has 2 divisors, whose sum is σ = 3131382830. Its totient is φ = 3131382828.

The previous prime is 3131382781. The next prime is 3131382857. The reversal of 3131382829 is 9282831313.

3131382829 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., 2190427204 + 940955625 = 46802^2 + 30675^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131382829 - 27 = 3131382701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131382791 and 3131382800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131382899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565691414 + 1565691415.

It is an arithmetic number, because the mean of its divisors is an integer number (1565691415).

Almost surely, 23131382829 is an apocalyptic number.

It is an amenable number.

3131382829 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131382829 is an equidigital number, since it uses as much as digits as its factorization.

3131382829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 40.

The square root of 3131382829 is about 55958.7600738258. The cubic root of 3131382829 is about 1463.0035791249.

The spelling of 3131382829 in words is "three billion, one hundred thirty-one million, three hundred eighty-two thousand, eight hundred twenty-nine".