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3131011441 is a prime number
BaseRepresentation
bin1011101010011111…
…0111000101110001
322002012112212020201
42322213313011301
522403014331231
61234404235201
7140406105145
oct27247670561
98065485221
103131011441
111367413268
1273469bb01
133ab8954bc
14219b8b225
15134d22161
hexba9f7171

3131011441 has 2 divisors, whose sum is σ = 3131011442. Its totient is φ = 3131011440.

The previous prime is 3131011427. The next prime is 3131011489. The reversal of 3131011441 is 1441101313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3128053041 + 2958400 = 55929^2 + 1720^2 .

It is an emirp because it is prime and its reverse (1441101313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3131011441 - 25 = 3131011409 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131011141) 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, 1565505720 + 1565505721.

It is an arithmetic number, because the mean of its divisors is an integer number (1565505721).

Almost surely, 23131011441 is an apocalyptic number.

It is an amenable number.

3131011441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131011441 is an equidigital number, since it uses as much as digits as its factorization.

3131011441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 3131011441 is about 55955.4415673757. The cubic root of 3131011441 is about 1462.9457384961.

Adding to 3131011441 its reverse (1441101313), we get a palindrome (4572112754).

The spelling of 3131011441 in words is "three billion, one hundred thirty-one million, eleven thousand, four hundred forty-one".