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201213000301 is a prime number
BaseRepresentation
bin1011101101100100111…
…0101011101001101101
3201020100212202111002111
42323121032223221231
511244041012002201
6232234100524021
720352150166015
oct2733116535155
9636325674074
10201213000301
1178374547295
1232bb59b0611
1315c88715a31
149a4b236c45
155379bcbb51
hex2ed93aba6d

201213000301 has 2 divisors, whose sum is σ = 201213000302. Its totient is φ = 201213000300.

The previous prime is 201213000299. The next prime is 201213000311. The reversal of 201213000301 is 103000312102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133144712100 + 68068288201 = 364890^2 + 260899^2 .

It is a cyclic number.

It is not a de Polignac number, because 201213000301 - 21 = 201213000299 is a prime.

It is a super-5 number, since 5×2012130003015 (a number of 58 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

Together with 201213000299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201213000311) 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, 100606500150 + 100606500151.

It is an arithmetic number, because the mean of its divisors is an integer number (100606500151).

Almost surely, 2201213000301 is an apocalyptic number.

It is an amenable number.

201213000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

201213000301 is an equidigital number, since it uses as much as digits as its factorization.

201213000301 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 201213000301 its reverse (103000312102), we get a palindrome (304213312403).

The spelling of 201213000301 in words is "two hundred one billion, two hundred thirteen million, three hundred one", and thus it is an aban number.