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2021201123113 is a prime number
BaseRepresentation
bin11101011010011000111…
…110011001011100101001
321011020001222111111101001
4131122120332121130221
5231103404441414423
64144305454355001
7266012151035434
oct35323076313451
97136058444331
102021201123113
1170a206383437
122878801bba61
131187a1a37733
146db804b881b
1537899406cad
hex1d698f99729

2021201123113 has 2 divisors, whose sum is σ = 2021201123114. Its totient is φ = 2021201123112.

The previous prime is 2021201123111. The next prime is 2021201123159. The reversal of 2021201123113 is 3113211021202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1594391086864 + 426810036249 = 1262692^2 + 653307^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021201123113 - 21 = 2021201123111 is a prime.

Together with 2021201123111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2021201123111) 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, 1010600561556 + 1010600561557.

It is an arithmetic number, because the mean of its divisors is an integer number (1010600561557).

Almost surely, 22021201123113 is an apocalyptic number.

It is an amenable number.

2021201123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021201123113 is an equidigital number, since it uses as much as digits as its factorization.

2021201123113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2021201123113 its reverse (3113211021202), we get a palindrome (5134412144315).

The spelling of 2021201123113 in words is "two trillion, twenty-one billion, two hundred one million, one hundred twenty-three thousand, one hundred thirteen".