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3000201101 is a prime number
BaseRepresentation
bin1011001011010011…
…0110111110001101
321202002102000012022
42302310312332031
522121022413401
61213412415525
7134230200662
oct26264667615
97662360168
103000201101
1112aa598547
126b89175a5
1338a754c31
14206659a69
151285d371b
hexb2d36f8d

3000201101 has 2 divisors, whose sum is σ = 3000201102. Its totient is φ = 3000201100.

The previous prime is 3000201079. The next prime is 3000201103. The reversal of 3000201101 is 1011020003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1527637225 + 1472563876 = 39085^2 + 38374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3000201101 is a prime.

It is a super-2 number, since 2×30002011012 = 18002413292883224402, which contains 22 as substring.

Together with 3000201103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000201103) 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, 1500100550 + 1500100551.

It is an arithmetic number, because the mean of its divisors is an integer number (1500100551).

Almost surely, 23000201101 is an apocalyptic number.

It is an amenable number.

3000201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000201101 is an equidigital number, since it uses as much as digits as its factorization.

3000201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 3000201101 is about 54774.0915123199. The cubic root of 3000201101 is about 1442.2817960130.

Adding to 3000201101 its reverse (1011020003), we get a palindrome (4011221104).

The spelling of 3000201101 in words is "three billion, two hundred one thousand, one hundred one".