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214134029 is a prime number
BaseRepresentation
bin11001100001101…
…10110100001101
3112220221010122222
430300312310031
5414304242104
633125345125
75210052314
oct1460666415
9486833588
10214134029
11aa96707a
125b8681a5
1335495735
142062127b
1513bec1be
hexcc36d0d

214134029 has 2 divisors, whose sum is σ = 214134030. Its totient is φ = 214134028.

The previous prime is 214134001. The next prime is 214134049. The reversal of 214134029 is 920431412.

214134029 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 can be written as a sum of positive squares in only one way, i.e., 213949129 + 184900 = 14627^2 + 430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214134029 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p11817017 and since 214134029 and 11817017 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 214133989 and 214134007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214134049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107067014 + 107067015.

It is an arithmetic number, because the mean of its divisors is an integer number (107067015).

Almost surely, 2214134029 is an apocalyptic number.

It is an amenable number.

214134029 is a deficient number, since it is larger than the sum of its proper divisors (1).

214134029 is an equidigital number, since it uses as much as digits as its factorization.

214134029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 214134029 is about 14633.3191381860. The cubic root of 214134029 is about 598.2672498527.

The spelling of 214134029 in words is "two hundred fourteen million, one hundred thirty-four thousand, twenty-nine".