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212122129 is a prime number
BaseRepresentation
bin11001010010010…
…11101000010001
3112210010220212011
430221023220101
5413300402004
633014302521
75154002602
oct1451135021
9483126764
10212122129
11a981254a
125b057a41
1334c3ca6b
1420259da9
1513951004
hexca4ba11

212122129 has 2 divisors, whose sum is σ = 212122130. Its totient is φ = 212122128.

The previous prime is 212122121. The next prime is 212122177. The reversal of 212122129 is 921221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 42601729 = 13020^2 + 6527^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122129 - 23 = 212122121 is a prime.

It is a super-2 number, since 2×2121221292 = 89991595222985282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212122121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061064 + 106061065.

It is an arithmetic number, because the mean of its divisors is an integer number (106061065).

Almost surely, 2212122129 is an apocalyptic number.

It is an amenable number.

212122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122129 is an equidigital number, since it uses as much as digits as its factorization.

212122129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 22.

The square root of 212122129 is about 14564.4131018040. The cubic root of 212122129 is about 596.3876741860.

The spelling of 212122129 in words is "two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-nine".