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3144131021 is a prime number
BaseRepresentation
bin1011101101100111…
…1010000111001101
322010010020101221002
42323121322013031
522414344143041
61235553350045
7140625446513
oct27331720715
98103211832
103144131021
111373864199
12738b68325
133b1509c75
1421b8044b3
1513606459b
hexbb67a1cd

3144131021 has 2 divisors, whose sum is σ = 3144131022. Its totient is φ = 3144131020.

The previous prime is 3144130973. The next prime is 3144131059. The reversal of 3144131021 is 1201314413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3023790121 + 120340900 = 54989^2 + 10970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3144131021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3144130984 and 3144131002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3144131621) 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, 1572065510 + 1572065511.

It is an arithmetic number, because the mean of its divisors is an integer number (1572065511).

Almost surely, 23144131021 is an apocalyptic number.

It is an amenable number.

3144131021 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144131021 is an equidigital number, since it uses as much as digits as its factorization.

3144131021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3144131021 is about 56072.5514044082. The cubic root of 3144131021 is about 1464.9862386543.

Adding to 3144131021 its reverse (1201314413), we get a palindrome (4345445434).

The spelling of 3144131021 in words is "three billion, one hundred forty-four million, one hundred thirty-one thousand, twenty-one".