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2212112129 is a prime number
BaseRepresentation
bin1000001111011010…
…0010011100000001
312201011110221100212
42003312202130001
514012300042004
61003301123505
7105550433333
oct20366423401
95634427325
102212112129
11a35752647
125189b9595
132933b26b6
1416db11453
15ce31096e
hex83da2701

2212112129 has 2 divisors, whose sum is σ = 2212112130. Its totient is φ = 2212112128.

The previous prime is 2212112093. The next prime is 2212112143. The reversal of 2212112129 is 9212112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1825596529 + 386515600 = 42727^2 + 19660^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212112129 - 212 = 2212108033 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212112159) 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, 1106056064 + 1106056065.

It is an arithmetic number, because the mean of its divisors is an integer number (1106056065).

Almost surely, 22212112129 is an apocalyptic number.

It is an amenable number.

2212112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212112129 is an equidigital number, since it uses as much as digits as its factorization.

2212112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

The square root of 2212112129 is about 47033.0961026382. The cubic root of 2212112129 is about 1302.9738877841.

The spelling of 2212112129 in words is "two billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-nine".