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30020100017 is a prime number
BaseRepresentation
bin11011111101010101…
…100101111110110001
32212111011010002102012
4123331111211332301
5442440121200032
621442510532305
72111632432325
oct337525457661
985434102365
1030020100017
1111805622516
125999807095
132aa55b1bbb
14164ad9b985
15baa7996b2
hex6fd565fb1

30020100017 has 2 divisors, whose sum is σ = 30020100018. Its totient is φ = 30020100016.

The previous prime is 30020099983. The next prime is 30020100037. The reversal of 30020100017 is 71000102003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29268024241 + 752075776 = 171079^2 + 27424^2 .

It is an emirp because it is prime and its reverse (71000102003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 30020100017 - 226 = 29952991153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30020099974 and 30020100010.

It is not a weakly prime, because it can be changed into another prime (30020100037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15010050008 + 15010050009.

It is an arithmetic number, because the mean of its divisors is an integer number (15010050009).

Almost surely, 230020100017 is an apocalyptic number.

It is an amenable number.

30020100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

30020100017 is an equidigital number, since it uses as much as digits as its factorization.

30020100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The spelling of 30020100017 in words is "thirty billion, twenty million, one hundred thousand, seventeen".