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206158430209 is a prime number
BaseRepresentation
bin1100000000000000000…
…0000000000000000001
3201201010112110100120011
43000000000000000001
511334203024231314
6234412522344521
720615540513014
oct3000000000001
9651115410504
10206158430209
117a482071a46
1233b5605b141
1316596179014
149d99d7137b
155568e544c4
hex3000000001

206158430209 has 2 divisors, whose sum is σ = 206158430210. Its totient is φ = 206158430208.

The previous prime is 206158430183. The next prime is 206158430227. The reversal of 206158430209 is 902034851602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180139127184 + 26019303025 = 424428^2 + 161305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-206158430209 is a prime.

It is a super-4 number, since 4×2061584302094 (a number of 46 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (206158430809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a Pierpont prime, being equal to 236 ⋅ 31 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103079215104 + 103079215105.

It is an arithmetic number, because the mean of its divisors is an integer number (103079215105).

It is a Proth number, since it is equal to 3 ⋅ 236 + 1 and 3 < 236.

Almost surely, 2206158430209 is an apocalyptic number.

It is an amenable number.

206158430209 is a deficient number, since it is larger than the sum of its proper divisors (1).

206158430209 is an equidigital number, since it uses as much as digits as its factorization.

206158430209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 206158430209 in words is "two hundred six billion, one hundred fifty-eight million, four hundred thirty thousand, two hundred nine".