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212020122133 is a prime number
BaseRepresentation
bin1100010101110101100…
…0100101001000010101
3202021021001021011020001
43011131120211020111
511433204122402013
6241222315011301
721214025205601
oct3053530451025
9667231234201
10212020122133
1181a0a916936
1235111139b31
1316cbb6aa891
14a39465a501
1557ad86bddd
hex315d625215

212020122133 has 2 divisors, whose sum is σ = 212020122134. Its totient is φ = 212020122132.

The previous prime is 212020122109. The next prime is 212020122151. The reversal of 212020122133 is 331221020212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107107616529 + 104912505604 = 327273^2 + 323902^2 .

It is a cyclic number.

It is not a de Polignac number, because 212020122133 - 25 = 212020122101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212020122133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212020122233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010061066 + 106010061067.

It is an arithmetic number, because the mean of its divisors is an integer number (106010061067).

Almost surely, 2212020122133 is an apocalyptic number.

It is an amenable number.

212020122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212020122133 is an equidigital number, since it uses as much as digits as its factorization.

212020122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212020122133 its reverse (331221020212), we get a palindrome (543241142345).

It can be divided in two parts, 212020 and 122133, that added together give a triangular number (334153 = T817).

The spelling of 212020122133 in words is "two hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred thirty-three".