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214793129 is a prime number
BaseRepresentation
bin11001100110101…
…11101110101001
3112222011121210002
430303113232221
5414441340004
633151432345
75215466015
oct1463275651
9488147702
10214793129
11100277291
125bb256b5
1335666735
1420753545
1513ccc61e
hexccd7ba9

214793129 has 2 divisors, whose sum is σ = 214793130. Its totient is φ = 214793128.

The previous prime is 214793123. The next prime is 214793143. The reversal of 214793129 is 921397412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137827600 + 76965529 = 11740^2 + 8773^2 .

It is a cyclic number.

It is not a de Polignac number, because 214793129 - 224 = 198015913 is a prime.

It is a super-2 number, since 2×2147931292 = 92272176531221282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214793092 and 214793101.

It is not a weakly prime, because it can be changed into another prime (214793123) 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, 107396564 + 107396565.

It is an arithmetic number, because the mean of its divisors is an integer number (107396565).

Almost surely, 2214793129 is an apocalyptic number.

It is an amenable number.

214793129 is a deficient number, since it is larger than the sum of its proper divisors (1).

214793129 is an equidigital number, since it uses as much as digits as its factorization.

214793129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 214793129 is about 14655.8223583667. The cubic root of 214793129 is about 598.8804391236.

The spelling of 214793129 in words is "two hundred fourteen million, seven hundred ninety-three thousand, one hundred twenty-nine".