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212033137 is a prime number
BaseRepresentation
bin11001010001101…
…01111001110001
3112202222101210011
430220311321301
5413240030022
633012334521
75153152261
oct1450657161
9482871704
10212033137
11a97616a8
125b014441
1334c0b3c4
14202357a1
1513934977
hexca35e71

212033137 has 2 divisors, whose sum is σ = 212033138. Its totient is φ = 212033136.

The previous prime is 212033131. The next prime is 212033147. The reversal of 212033137 is 731330212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183900721 + 28132416 = 13561^2 + 5304^2 .

It is a cyclic number.

It is not a de Polignac number, because 212033137 - 27 = 212033009 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212033131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106016568 + 106016569.

It is an arithmetic number, because the mean of its divisors is an integer number (106016569).

Almost surely, 2212033137 is an apocalyptic number.

It is an amenable number.

212033137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033137 is an equidigital number, since it uses as much as digits as its factorization.

212033137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 212033137 is about 14561.3576633499. The cubic root of 212033137 is about 596.3042613019.

Adding to 212033137 its reverse (731330212), we get a palindrome (943363349).

The spelling of 212033137 in words is "two hundred twelve million, thirty-three thousand, one hundred thirty-seven".