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112000120129 is a prime number
BaseRepresentation
bin110100001001110111…
…0100011010101000001
3101201002110222121101101
41220103232203111001
53313334012321004
6123241355134401
711043316212322
oct1502356432501
9351073877341
10112000120129
1143554169a57
1219858744401
13a73b9b6b41
1455c6ab0449
152da79d0ba4
hex1a13ba3541

112000120129 has 2 divisors, whose sum is σ = 112000120130. Its totient is φ = 112000120128.

The previous prime is 112000120091. The next prime is 112000120147. The reversal of 112000120129 is 921021000211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111783235600 + 216884529 = 334340^2 + 14727^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000120129 - 29 = 112000119617 is a prime.

It is not a weakly prime, because it can be changed into another prime (112000120429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000060064 + 56000060065.

It is an arithmetic number, because the mean of its divisors is an integer number (56000060065).

Almost surely, 2112000120129 is an apocalyptic number.

It is an amenable number.

112000120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000120129 is an equidigital number, since it uses as much as digits as its factorization.

112000120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 112000120129 in words is "one hundred twelve billion, one hundred twenty thousand, one hundred twenty-nine".