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112129 is a prime number
BaseRepresentation
bin11011011000000001
312200210221
4123120001
512042004
62223041
7644623
oct333001
9180727
10112129
1177276
1254a81
133c064
142cc13
1523354
hex1b601

112129 has 2 divisors, whose sum is σ = 112130. Its totient is φ = 112128.

The previous prime is 112121. The next prime is 112139. The reversal of 112129 is 921211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 50625 = 248^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 112129 - 23 = 112121 is a prime.

It is not a weakly prime, because it can be changed into another prime (112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56064 + 56065.

It is an arithmetic number, because the mean of its divisors is an integer number (56065).

It is a Proth number, since it is equal to 219 ⋅ 29 + 1 and 219 < 29.

2112129 is an apocalyptic number.

It is an amenable number.

112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112129 is an equidigital number, since it uses as much as digits as its factorization.

112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 16.

The square root of 112129 is about 334.8566857627. The cubic root of 112129 is about 48.2213446324.

The spelling of 112129 in words is "one hundred twelve thousand, one hundred twenty-nine".