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214013309 is a prime number
BaseRepresentation
bin11001100000110…
…01010101111101
3112220201000001212
430300121111331
5414241411214
633123014205
75206040336
oct1460312575
9486630055
10214013309
11aa894404
125b80a365
13354527c3
14205cd28d
1513bc653e
hexcc1957d

214013309 has 2 divisors, whose sum is σ = 214013310. Its totient is φ = 214013308.

The previous prime is 214013287. The next prime is 214013333. The reversal of 214013309 is 903310412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213072409 + 940900 = 14597^2 + 970^2 .

It is a cyclic number.

It is not a de Polignac number, because 214013309 - 28 = 214013053 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214013389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107006654 + 107006655.

It is an arithmetic number, because the mean of its divisors is an integer number (107006655).

Almost surely, 2214013309 is an apocalyptic number.

It is an amenable number.

214013309 is a deficient number, since it is larger than the sum of its proper divisors (1).

214013309 is an equidigital number, since it uses as much as digits as its factorization.

214013309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 214013309 is about 14629.1937235105. The cubic root of 214013309 is about 598.1548025238.

The spelling of 214013309 in words is "two hundred fourteen million, thirteen thousand, three hundred nine".