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314084213 is a prime number
BaseRepresentation
bin10010101110001…
…000101101110101
3210220000010112122
4102232020231311
51120401143323
651055525325
710532446262
oct2256105565
9726003478
10314084213
11151324133
1289229845
13500bc661
142d9dc269
151c891ec8
hex12b88b75

314084213 has 2 divisors, whose sum is σ = 314084214. Its totient is φ = 314084212.

The previous prime is 314084207. The next prime is 314084249. The reversal of 314084213 is 312480413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192709924 + 121374289 = 13882^2 + 11017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314084213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314084713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157042106 + 157042107.

It is an arithmetic number, because the mean of its divisors is an integer number (157042107).

Almost surely, 2314084213 is an apocalyptic number.

It is an amenable number.

314084213 is a deficient number, since it is larger than the sum of its proper divisors (1).

314084213 is an equidigital number, since it uses as much as digits as its factorization.

314084213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 314084213 is about 17722.4211946336. The cubic root of 314084213 is about 679.7491960023.

The spelling of 314084213 in words is "three hundred fourteen million, eighty-four thousand, two hundred thirteen".