Search a number
-
+
20010211133441 is a prime number
BaseRepresentation
bin1001000110010111111011…
…00001101100100000000001
32121211221212000111211102012
410203023331201230200001
510110321403022232231
6110320321502102305
74133455454151134
oct443137541544001
977757760454365
1020010211133441
1164153125797a1
1222b214327a995
13b21c54955c29
144d26dc46021b
1524a7a154be2b
hex1232fd86c801

20010211133441 has 2 divisors, whose sum is σ = 20010211133442. Its totient is φ = 20010211133440.

The previous prime is 20010211133387. The next prime is 20010211133443. The reversal of 20010211133441 is 14433111201002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19071387726400 + 938823407041 = 4367080^2 + 968929^2 .

It is a cyclic number.

It is not a de Polignac number, because 20010211133441 - 234 = 19993031264257 is a prime.

It is a super-2 number, since 2×200102111334412 (a number of 27 digits) contains 22 as substring.

Together with 20010211133443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20010211133443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005105566720 + 10005105566721.

It is an arithmetic number, because the mean of its divisors is an integer number (10005105566721).

Almost surely, 220010211133441 is an apocalyptic number.

It is an amenable number.

20010211133441 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010211133441 is an equidigital number, since it uses as much as digits as its factorization.

20010211133441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 20010211133441 its reverse (14433111201002), we get a palindrome (34443322334443).

The spelling of 20010211133441 in words is "twenty trillion, ten billion, two hundred eleven million, one hundred thirty-three thousand, four hundred forty-one".