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214006031 is a prime number
BaseRepresentation
bin11001100000101…
…11100100001111
3112220200122002022
430300113210033
5414241143111
633122520355
75206010201
oct1460274417
9486618068
10214006031
11aa889998
125b8060bb
133544c3b5
14205ca771
1513bc42db
hexcc1790f

214006031 has 2 divisors, whose sum is σ = 214006032. Its totient is φ = 214006030.

The previous prime is 214006027. The next prime is 214006033. The reversal of 214006031 is 130600412.

214006031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 214006031 - 22 = 214006027 is a prime.

It is a super-2 number, since 2×2140060312 = 91597162608745922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 214006033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214006033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107003015 + 107003016.

It is an arithmetic number, because the mean of its divisors is an integer number (107003016).

Almost surely, 2214006031 is an apocalyptic number.

214006031 is the 7820-th centered heptagonal number.

214006031 is a deficient number, since it is larger than the sum of its proper divisors (1).

214006031 is an equidigital number, since it uses as much as digits as its factorization.

214006031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 214006031 is about 14628.9449722118. The cubic root of 214006031 is about 598.1480219175.

Adding to 214006031 its reverse (130600412), we get a palindrome (344606443).

The spelling of 214006031 in words is "two hundred fourteen million, six thousand, thirty-one".