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301011002113 is a prime number
BaseRepresentation
bin1000110000101011010…
…01110110001100000001
31001202221222022020220211
410120111221312030001
514412432304031423
6350141010234121
730514222205353
oct4302551661401
91052858266824
10301011002113
11106726955138
124a407b85941
132250141b803
14107d75150d3
157c6b31510d
hex4615a76301

301011002113 has 2 divisors, whose sum is σ = 301011002114. Its totient is φ = 301011002112.

The previous prime is 301011002087. The next prime is 301011002177. The reversal of 301011002113 is 311200110103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201159426064 + 99851576049 = 448508^2 + 315993^2 .

It is an emirp because it is prime and its reverse (311200110103) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301011002113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301011002093 and 301011002102.

It is not a weakly prime, because it can be changed into another prime (301011002183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150505501056 + 150505501057.

It is an arithmetic number, because the mean of its divisors is an integer number (150505501057).

Almost surely, 2301011002113 is an apocalyptic number.

It is an amenable number.

301011002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

301011002113 is an equidigital number, since it uses as much as digits as its factorization.

301011002113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 301011002113 its reverse (311200110103), we get a palindrome (612211112216).

The spelling of 301011002113 in words is "three hundred one billion, eleven million, two thousand, one hundred thirteen".