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214031429 is a prime number
BaseRepresentation
bin11001100000111…
…01110001000101
3112220201220220222
430300131301011
5414243001204
633123234125
75206144223
oct1460356105
9486656828
10214031429
11aa8a6a87
125b818945
133545ab21
14205d5b13
1513bcbabe
hexcc1dc45

214031429 has 2 divisors, whose sum is σ = 214031430. Its totient is φ = 214031428.

The previous prime is 214031407. The next prime is 214031443. The reversal of 214031429 is 924130412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110460100 + 103571329 = 10510^2 + 10177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214031429 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 214031398 and 214031407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214031329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107015714 + 107015715.

It is an arithmetic number, because the mean of its divisors is an integer number (107015715).

Almost surely, 2214031429 is an apocalyptic number.

It is an amenable number.

214031429 is a deficient number, since it is larger than the sum of its proper divisors (1).

214031429 is an equidigital number, since it uses as much as digits as its factorization.

214031429 is an odious number, because the sum of its binary digits is odd.

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

The square root of 214031429 is about 14629.8130199945. The cubic root of 214031429 is about 598.1716834976.

The spelling of 214031429 in words is "two hundred fourteen million, thirty-one thousand, four hundred twenty-nine".