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42112129 is a prime number
BaseRepresentation
bin1010000010100…
…1010010000001
32221020111222111
42200221102001
541240042004
64102335321
71020642613
oct240512201
987214874
1042112129
1121853514
121212a541
138956027
145842db3
153a6ca04
hex2829481

42112129 has 2 divisors, whose sum is σ = 42112130. Its totient is φ = 42112128.

The previous prime is 42112127. The next prime is 42112139. The reversal of 42112129 is 92121124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39942400 + 2169729 = 6320^2 + 1473^2 .

It is a cyclic number.

It is not a de Polignac number, because 42112129 - 21 = 42112127 is a prime.

Together with 42112127, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21056064 + 21056065.

It is an arithmetic number, because the mean of its divisors is an integer number (21056065).

Almost surely, 242112129 is an apocalyptic number.

It is an amenable number.

42112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42112129 is an equidigital number, since it uses as much as digits as its factorization.

42112129 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 42112129 is about 6489.3858723303. The cubic root of 42112129 is about 347.9117256393.

The spelling of 42112129 in words is "forty-two million, one hundred twelve thousand, one hundred twenty-nine".