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2011113001 is a prime number
BaseRepresentation
bin111011111011111…
…0010011000101001
312012011021010101201
41313313302120221
513104321104001
6531321044201
7100560115132
oct16767623051
95164233351
102011113001
11942247a67
12481626661
132608686c1
1415114cc89
15bb85a501
hex77df2629

2011113001 has 2 divisors, whose sum is σ = 2011113002. Its totient is φ = 2011113000.

The previous prime is 2011112993. The next prime is 2011113011. The reversal of 2011113001 is 1003111102.

It is an a-pointer prime, because the next prime (2011113011) can be obtained adding 2011113001 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1331155225 + 679957776 = 36485^2 + 26076^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011113001 - 23 = 2011112993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011113011) 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, 1005556500 + 1005556501.

It is an arithmetic number, because the mean of its divisors is an integer number (1005556501).

Almost surely, 22011113001 is an apocalyptic number.

It is an amenable number.

2011113001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011113001 is an equidigital number, since it uses as much as digits as its factorization.

2011113001 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 10.

The square root of 2011113001 is about 44845.4345613910. The cubic root of 2011113001 is about 1262.2503249824.

Adding to 2011113001 its reverse (1003111102), we get a palindrome (3014224103).

The spelling of 2011113001 in words is "two billion, eleven million, one hundred thirteen thousand, one".