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3129305761 is a prime number
BaseRepresentation
bin1011101010000101…
…0110101010100001
322002002100012111101
42322201112222201
522402100241021
61234303514401
7140355442261
oct27241265241
98062305441
103129305761
11136645880a
12733bb8a01
133ab41901a
142198657a1
15134ad6a91
hexba856aa1

3129305761 has 2 divisors, whose sum is σ = 3129305762. Its totient is φ = 3129305760.

The previous prime is 3129305741. The next prime is 3129305791. The reversal of 3129305761 is 1675039213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2445797025 + 683508736 = 49455^2 + 26144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3129305761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3129305761.

It is not a weakly prime, because it can be changed into another prime (3129305741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1564652880 + 1564652881.

It is an arithmetic number, because the mean of its divisors is an integer number (1564652881).

Almost surely, 23129305761 is an apocalyptic number.

It is an amenable number.

3129305761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3129305761 is an equidigital number, since it uses as much as digits as its factorization.

3129305761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 3129305761 is about 55940.1980779475. The cubic root of 3129305761 is about 1462.6800340961.

The spelling of 3129305761 in words is "three billion, one hundred twenty-nine million, three hundred five thousand, seven hundred sixty-one".