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214203029 is a prime number
BaseRepresentation
bin11001100010001…
…11101010010101
3112221001122022112
430301013222111
5414313444104
633131040405
75210460425
oct1461075225
9487048275
10214203029
11aaa039a7
125b8a0105
13354bac71
142063c485
1513c1286e
hexcc47a95

214203029 has 2 divisors, whose sum is σ = 214203030. Its totient is φ = 214203028.

The previous prime is 214203001. The next prime is 214203047. The reversal of 214203029 is 920302412.

214203029 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., 205262929 + 8940100 = 14327^2 + 2990^2 .

It is a cyclic number.

It is not a de Polignac number, because 214203029 - 28 = 214202773 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p11820605 and since 214203029 and 11820605 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 = 214202995 and 214203013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214203089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107101514 + 107101515.

It is an arithmetic number, because the mean of its divisors is an integer number (107101515).

Almost surely, 2214203029 is an apocalyptic number.

It is an amenable number.

214203029 is a deficient number, since it is larger than the sum of its proper divisors (1).

214203029 is an equidigital number, since it uses as much as digits as its factorization.

214203029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 214203029 is about 14635.6765815592. The cubic root of 214203029 is about 598.3315024570.

The spelling of 214203029 in words is "two hundred fourteen million, two hundred three thousand, twenty-nine".