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306102113 is a prime number
BaseRepresentation
bin10010001111101…
…011111101100001
3210022222121011022
4102033223331201
51111330231423
650212455225
710404552662
oct2217537541
9708877138
10306102113
11147872059
128661a515
134b556415
142c921369
151bd16dc8
hex123ebf61

306102113 has 2 divisors, whose sum is σ = 306102114. Its totient is φ = 306102112.

The previous prime is 306102107. The next prime is 306102151. The reversal of 306102113 is 311201603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235407649 + 70694464 = 15343^2 + 8408^2 .

It is a cyclic number.

It is not a de Polignac number, because 306102113 - 212 = 306098017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 306102091 and 306102100.

It is not a weakly prime, because it can be changed into another prime (306102413) 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, 153051056 + 153051057.

It is an arithmetic number, because the mean of its divisors is an integer number (153051057).

Almost surely, 2306102113 is an apocalyptic number.

It is an amenable number.

306102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

306102113 is an equidigital number, since it uses as much as digits as its factorization.

306102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 306102113 is about 17495.7741469190. The cubic root of 306102113 is about 673.9413587386.

Adding to 306102113 its reverse (311201603), we get a palindrome (617303716).

It can be divided in two parts, 30610 and 2113, that added together give a palindrome (32723).

The spelling of 306102113 in words is "three hundred six million, one hundred two thousand, one hundred thirteen".