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214151141 is a prime number
BaseRepresentation
bin11001100001110…
…10111111100101
3112220222000010202
430300322333211
5414310314031
633130000245
75210153231
oct1460727745
9486860122
10214151141
11aa978a16
125b876085
13354a0469
14206275c1
1513c022cb
hexcc3afe5

214151141 has 2 divisors, whose sum is σ = 214151142. Its totient is φ = 214151140.

The previous prime is 214151117. The next prime is 214151143. The reversal of 214151141 is 141151412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205091041 + 9060100 = 14321^2 + 3010^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214151141 is a prime.

It is a super-2 number, since 2×2141511412 = 91721422383203762, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 214151143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214151143) 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, 107075570 + 107075571.

It is an arithmetic number, because the mean of its divisors is an integer number (107075571).

Almost surely, 2214151141 is an apocalyptic number.

It is an amenable number.

214151141 is a deficient number, since it is larger than the sum of its proper divisors (1).

214151141 is an equidigital number, since it uses as much as digits as its factorization.

214151141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 20.

The square root of 214151141 is about 14633.9038195555. The cubic root of 214151141 is about 598.2831857855.

The spelling of 214151141 in words is "two hundred fourteen million, one hundred fifty-one thousand, one hundred forty-one".