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221301030001 is a prime number
BaseRepresentation
bin1100111000011010010…
…0011011110001110001
3210011012211221010101111
43032012210123301301
512111211030430001
6245355253033321
721663021501202
oct3160644336161
9704184833344
10221301030001
1185942731327
1236a81325841
1317b3a40283c
14a9d50b55a9
155b53535851
hex338691bc71

221301030001 has 2 divisors, whose sum is σ = 221301030002. Its totient is φ = 221301030000.

The previous prime is 221301029921. The next prime is 221301030023. The reversal of 221301030001 is 100030103122.

221301030001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201300282225 + 20000747776 = 448665^2 + 141424^2 .

It is a cyclic number.

It is not a de Polignac number, because 221301030001 - 229 = 220764159089 is a prime.

It is not a weakly prime, because it can be changed into another prime (221301030031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650515000 + 110650515001.

It is an arithmetic number, because the mean of its divisors is an integer number (110650515001).

Almost surely, 2221301030001 is an apocalyptic number.

It is an amenable number.

221301030001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221301030001 is an equidigital number, since it uses as much as digits as its factorization.

221301030001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 221301030001 its reverse (100030103122), we get a palindrome (321331133123).

The spelling of 221301030001 in words is "two hundred twenty-one billion, three hundred one million, thirty thousand, one".