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2000113301 is a prime number
BaseRepresentation
bin111011100110111…
…0100111010010101
312011101120021122102
41313031310322111
513044012111201
6530245211445
7100364453054
oct16715647225
95141507572
102000113301
119370147aa
12479a00b85
1325b4b6ac4
1414d8c839b
15ba8d626b
hex77374e95

2000113301 has 2 divisors, whose sum is σ = 2000113302. Its totient is φ = 2000113300.

The previous prime is 2000113277. The next prime is 2000113319. The reversal of 2000113301 is 1033110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1947898225 + 52215076 = 44135^2 + 7226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000113301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000113361) 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, 1000056650 + 1000056651.

It is an arithmetic number, because the mean of its divisors is an integer number (1000056651).

Almost surely, 22000113301 is an apocalyptic number.

It is an amenable number.

2000113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000113301 is an equidigital number, since it uses as much as digits as its factorization.

2000113301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2000113301 is about 44722.6262757455. The cubic root of 2000113301 is about 1259.9448411648.

Adding to 2000113301 its reverse (1033110002), we get a palindrome (3033223303).

The spelling of 2000113301 in words is "two billion, one hundred thirteen thousand, three hundred one".