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3141131029 is a prime number
BaseRepresentation
bin1011101100111001…
…1101101100010101
322002220120222201021
42323032131230111
522413112143104
61235405201141
7140561113261
oct27316355425
98086528637
103141131029
1113720a5263
12737b601b1
133b09c961a
1421b2630a1
15135b70754
hexbb39db15

3141131029 has 2 divisors, whose sum is σ = 3141131030. Its totient is φ = 3141131028.

The previous prime is 3141131009. The next prime is 3141131039. The reversal of 3141131029 is 9201311413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2270999025 + 870132004 = 47655^2 + 29498^2 .

It is a cyclic number.

It is not a de Polignac number, because 3141131029 - 217 = 3140999957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3141130994 and 3141131012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3141131009) 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, 1570565514 + 1570565515.

It is an arithmetic number, because the mean of its divisors is an integer number (1570565515).

Almost surely, 23141131029 is an apocalyptic number.

It is an amenable number.

3141131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

3141131029 is an equidigital number, since it uses as much as digits as its factorization.

3141131029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 3141131029 is about 56045.7940348783. The cubic root of 3141131029 is about 1464.5201484978.

The spelling of 3141131029 in words is "three billion, one hundred forty-one million, one hundred thirty-one thousand, twenty-nine".