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2001100120133 is a prime number
BaseRepresentation
bin11101000111101010110…
…111001010000001000101
321002022012002220202002012
4131013222313022001011
5230241223112321013
64131143120224005
7264401061241262
oct35075267120105
97068162822065
102001100120133
11701730938384
122839b046b005
1311691a45792a
146cbd4a20269
15370be8891a8
hex1d1eadca045

2001100120133 has 2 divisors, whose sum is σ = 2001100120134. Its totient is φ = 2001100120132.

The previous prime is 2001100120109. The next prime is 2001100120169. The reversal of 2001100120133 is 3310210011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1461930064609 + 539170055524 = 1209103^2 + 734282^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001100120133 - 230 = 2000026378309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001100120933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550060066 + 1000550060067.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550060067).

Almost surely, 22001100120133 is an apocalyptic number.

It is an amenable number.

2001100120133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100120133 is an equidigital number, since it uses as much as digits as its factorization.

2001100120133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2001100120133 its reverse (3310210011002), we get a palindrome (5311310131135).

The spelling of 2001100120133 in words is "two trillion, one billion, one hundred million, one hundred twenty thousand, one hundred thirty-three".