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20011211111057 is a prime number
BaseRepresentation
bin1001000110011001110010…
…01000010011101010010001
32121212001102201010221211012
410203030321020103222101
510110330430021023212
6110321005023100305
74133522315626565
oct443147110235221
977761381127735
1020011211111057
116415785a87781
1222b2382141695
13b22083b85b6a
144d27951a36a5
1524a80e226922
hex123339213a91

20011211111057 has 2 divisors, whose sum is σ = 20011211111058. Its totient is φ = 20011211111056.

The previous prime is 20011211111027. The next prime is 20011211111071. The reversal of 20011211111057 is 75011111211002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16695428688016 + 3315782423041 = 4086004^2 + 1820929^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011211111057 - 238 = 19736333204113 is a prime.

It is a super-2 number, since 2×200112111110572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20011211111027) 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, 10005605555528 + 10005605555529.

It is an arithmetic number, because the mean of its divisors is an integer number (10005605555529).

Almost surely, 220011211111057 is an apocalyptic number.

It is an amenable number.

20011211111057 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011211111057 is an equidigital number, since it uses as much as digits as its factorization.

20011211111057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 20011211111057 its reverse (75011111211002), we get a palindrome (95022322322059).

The spelling of 20011211111057 in words is "twenty trillion, eleven billion, two hundred eleven million, one hundred eleven thousand, fifty-seven".