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208913141309 is a prime number
BaseRepresentation
bin1100001010010000110…
…0011000111000111101
3201222020111221011210012
43002210030120320331
511410323231010214
6235550125353005
721044030254505
oct3024414307075
9658214834705
10208913141309
1180666027194
12345a4708765
1316914aaa2a2
14a17bb66a05
15567abe503e
hex30a4318e3d

208913141309 has 2 divisors, whose sum is σ = 208913141310. Its totient is φ = 208913141308.

The previous prime is 208913141279. The next prime is 208913141341. The reversal of 208913141309 is 903141319802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169937695225 + 38975446084 = 412235^2 + 197422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-208913141309 is a prime.

It is a super-2 number, since 2×2089131413092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208913141809) 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, 104456570654 + 104456570655.

It is an arithmetic number, because the mean of its divisors is an integer number (104456570655).

Almost surely, 2208913141309 is an apocalyptic number.

It is an amenable number.

208913141309 is a deficient number, since it is larger than the sum of its proper divisors (1).

208913141309 is an equidigital number, since it uses as much as digits as its factorization.

208913141309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 208913141309 in words is "two hundred eight billion, nine hundred thirteen million, one hundred forty-one thousand, three hundred nine".