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27130031 is a prime number
BaseRepresentation
bin110011101111…
…1100010101111
31220001100101222
41213133202233
523421130111
62405253555
7446413205
oct147374257
956040358
1027130031
1114350215
1291042bb
13580b896
143863075
1525ad7db
hex19df8af

27130031 has 2 divisors, whose sum is σ = 27130032. Its totient is φ = 27130030.

The previous prime is 27130021. The next prime is 27130039. The reversal of 27130031 is 13003172.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27130031 is a prime.

It is a super-2 number, since 2×271300312 = 1472077164121922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27129991 and 27130009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27130039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13565015 + 13565016.

It is an arithmetic number, because the mean of its divisors is an integer number (13565016).

Almost surely, 227130031 is an apocalyptic number.

27130031 is a deficient number, since it is larger than the sum of its proper divisors (1).

27130031 is an equidigital number, since it uses as much as digits as its factorization.

27130031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 27130031 is about 5208.6496330623. The cubic root of 27130031 is about 300.4808252415.

The spelling of 27130031 in words is "twenty-seven million, one hundred thirty thousand, thirty-one".