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20213144211331 is a prime number
BaseRepresentation
bin1001001100010001111010…
…10001111100111110000011
32122120100122202220022101001
410212020331101330332003
510122133004404230311
6110553442410152431
74154231361643501
oct446107521747603
978510582808331
1020213144211331
116493389a51805
122325539122717
13b38125827a46
144dc46dcc7671
15250bcc2464c1
hex12623d47cf83

20213144211331 has 2 divisors, whose sum is σ = 20213144211332. Its totient is φ = 20213144211330.

The previous prime is 20213144211329. The next prime is 20213144211349. The reversal of 20213144211331 is 13311244131202.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 20213144211331 - 21 = 20213144211329 is a prime.

It is a super-2 number, since 2×202131442113312 (a number of 27 digits) contains 22 as substring.

Together with 20213144211329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 20213144211331.

It is not a weakly prime, because it can be changed into another prime (20213144211031) 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, 10106572105665 + 10106572105666.

It is an arithmetic number, because the mean of its divisors is an integer number (10106572105666).

Almost surely, 220213144211331 is an apocalyptic number.

20213144211331 is a deficient number, since it is larger than the sum of its proper divisors (1).

20213144211331 is an equidigital number, since it uses as much as digits as its factorization.

20213144211331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 20213144211331 its reverse (13311244131202), we get a palindrome (33524388342533).

The spelling of 20213144211331 in words is "twenty trillion, two hundred thirteen billion, one hundred forty-four million, two hundred eleven thousand, three hundred thirty-one".