Search a number
-
+
212120093 is a prime number
BaseRepresentation
bin11001010010010…
…11001000011101
3112210010211001202
430221023020131
5413300320333
633014245245
75153663633
oct1451131035
9483124052
10212120093
11a9810a69
125b056825
1334c3bb63
1420259353
15139505e8
hexca4b21d

212120093 has 2 divisors, whose sum is σ = 212120094. Its totient is φ = 212120092.

The previous prime is 212120063. The next prime is 212120107. The reversal of 212120093 is 390021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194797849 + 17322244 = 13957^2 + 4162^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120093 - 28 = 212119837 is a prime.

It is a super-3 number, since 3×2121200933 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212120003) 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, 106060046 + 106060047.

It is an arithmetic number, because the mean of its divisors is an integer number (106060047).

Almost surely, 2212120093 is an apocalyptic number.

It is an amenable number.

212120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120093 is an equidigital number, since it uses as much as digits as its factorization.

212120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 212120093 is about 14564.3432052393. The cubic root of 212120093 is about 596.3857660884.

The spelling of 212120093 in words is "two hundred twelve million, one hundred twenty thousand, ninety-three".