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2001231011113 is a prime number
BaseRepresentation
bin11101000111110010101…
…010011101110100101001
321002022112020012200202021
4131013302222131310221
5230242010114323423
64131204113504441
7264404240632525
oct35076252356451
97068466180667
102001231011113
11701798808744
12283a28272121
1311693b5c5b09
146cc08172d85
15370cb0e195d
hex1d1f2a9dd29

2001231011113 has 2 divisors, whose sum is σ = 2001231011114. Its totient is φ = 2001231011112.

The previous prime is 2001231011041. The next prime is 2001231011203. The reversal of 2001231011113 is 3111101321002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1953500996329 + 47730014784 = 1397677^2 + 218472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001231011113 - 221 = 2001228913961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001231011413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000615505556 + 1000615505557.

It is an arithmetic number, because the mean of its divisors is an integer number (1000615505557).

Almost surely, 22001231011113 is an apocalyptic number.

It is an amenable number.

2001231011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001231011113 is an equidigital number, since it uses as much as digits as its factorization.

2001231011113 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 16.

Adding to 2001231011113 its reverse (3111101321002), we get a palindrome (5112332332115).

The spelling of 2001231011113 in words is "two trillion, one billion, two hundred thirty-one million, eleven thousand, one hundred thirteen".