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2001120013 is a prime number
BaseRepresentation
bin111011101000110…
…1010101100001101
312011110110102121001
41313101222230031
513044241320023
6530322540301
7100406145064
oct16721525415
95143412531
102001120013
119376420a2
1247a207691
1325b77a0a9
1414daab1db
15baa346ad
hex7746ab0d

2001120013 has 2 divisors, whose sum is σ = 2001120014. Its totient is φ = 2001120012.

The previous prime is 2001120001. The next prime is 2001120047. The reversal of 2001120013 is 3100211002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1826536644 + 174583369 = 42738^2 + 13213^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001120013 - 213 = 2001111821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001123013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000560006 + 1000560007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000560007).

Almost surely, 22001120013 is an apocalyptic number.

It is an amenable number.

2001120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001120013 is an equidigital number, since it uses as much as digits as its factorization.

2001120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2001120013 is about 44733.8799233869. The cubic root of 2001120013 is about 1260.1561939987.

Adding to 2001120013 its reverse (3100211002), we get a palindrome (5101331015).

The spelling of 2001120013 in words is "two billion, one million, one hundred twenty thousand, thirteen".