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201303300101 is a prime number
BaseRepresentation
bin1011101101111010011…
…1001001100000000101
3201020121011200012010112
42323132213021200011
511244232121100401
6232251044202405
720354324550521
oct2733647114005
9636534605115
10201303300101
1178410512922
1233020099405
1315ca1341277
149a59220d81
155382ab73bb
hex2ede9c9805

201303300101 has 2 divisors, whose sum is σ = 201303300102. Its totient is φ = 201303300100.

The previous prime is 201303300097. The next prime is 201303300157. The reversal of 201303300101 is 101003303102.

201303300101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200054031076 + 1249269025 = 447274^2 + 35345^2 .

It is a cyclic number.

It is not a de Polignac number, because 201303300101 - 22 = 201303300097 is a prime.

It is a super-2 number, since 2×2013033001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201303300181) 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, 100651650050 + 100651650051.

It is an arithmetic number, because the mean of its divisors is an integer number (100651650051).

Almost surely, 2201303300101 is an apocalyptic number.

It is an amenable number.

201303300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201303300101 is an equidigital number, since it uses as much as digits as its factorization.

201303300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 201303300101 its reverse (101003303102), we get a palindrome (302306603203).

The spelling of 201303300101 in words is "two hundred one billion, three hundred three million, three hundred thousand, one hundred one".