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212052133 is a prime number
BaseRepresentation
bin11001010001110…
…10100010100101
3112210000100211201
430220322202211
5413241132013
633013002501
75153261536
oct1450724245
9483010751
10212052133
11a97749a7
125b023431
1334c16c47
142023c68d
151393a3dd
hexca3a8a5

212052133 has 2 divisors, whose sum is σ = 212052134. Its totient is φ = 212052132.

The previous prime is 212052107. The next prime is 212052161. The reversal of 212052133 is 331250212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212051844 + 289 = 14562^2 + 17^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212052133 is a prime.

It is a super-2 number, since 2×2120521332 = 89932214219699378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212052133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212052173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106026066 + 106026067.

It is an arithmetic number, because the mean of its divisors is an integer number (106026067).

Almost surely, 2212052133 is an apocalyptic number.

It is an amenable number.

212052133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212052133 is an equidigital number, since it uses as much as digits as its factorization.

212052133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 212052133 is about 14562.0099230841. The cubic root of 212052133 is about 596.3220683574.

The spelling of 212052133 in words is "two hundred twelve million, fifty-two thousand, one hundred thirty-three".