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2001100312301 is a prime number
BaseRepresentation
bin11101000111101010110…
…111111000111011101101
321002022012010021111200112
4131013222313320323231
5230241223134443201
64131143124305405
7264401063001446
oct35075267707355
97068163244615
102001100312301
11701730a597a2
122839b0542265
1311691a4c423c
146cbd4a702cd
15370be8c60bb
hex1d1eadf8eed

2001100312301 has 2 divisors, whose sum is σ = 2001100312302. Its totient is φ = 2001100312300.

The previous prime is 2001100312291. The next prime is 2001100312439. The reversal of 2001100312301 is 1032130011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1786058509225 + 215041803076 = 1336435^2 + 463726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001100312301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001100312201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550156150 + 1000550156151.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550156151).

Almost surely, 22001100312301 is an apocalyptic number.

It is an amenable number.

2001100312301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100312301 is an equidigital number, since it uses as much as digits as its factorization.

2001100312301 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 14.

Adding to 2001100312301 its reverse (1032130011002), we get a palindrome (3033230323303).

The spelling of 2001100312301 in words is "two trillion, one billion, one hundred million, three hundred twelve thousand, three hundred one".