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306058177013 is a prime number
BaseRepresentation
bin1000111010000100111…
…11010010100111110101
31002020222201110022021112
410131002133102213311
520003301343131023
6352333504524405
731053256403111
oct4350237224765
91066881408245
10306058177013
11108886953366
124b396320705
1322b26c86934
1410b55976741
157e64489478
hex47427d29f5

306058177013 has 2 divisors, whose sum is σ = 306058177014. Its totient is φ = 306058177012.

The previous prime is 306058176961. The next prime is 306058177063. The reversal of 306058177013 is 310771850603.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275271263569 + 30786913444 = 524663^2 + 175462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-306058177013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (306058177063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153029088506 + 153029088507.

It is an arithmetic number, because the mean of its divisors is an integer number (153029088507).

Almost surely, 2306058177013 is an apocalyptic number.

It is an amenable number.

306058177013 is a deficient number, since it is larger than the sum of its proper divisors (1).

306058177013 is an equidigital number, since it uses as much as digits as its factorization.

306058177013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 306058177013 in words is "three hundred six billion, fifty-eight million, one hundred seventy-seven thousand, thirteen".