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42333104129 is a prime number
BaseRepresentation
bin100111011011001111…
…111110100000000001
311001021021012111200112
4213123033332200001
51143144233313004
631240401201105
73026024306441
oct473317764001
9131237174615
1042333104129
1116a53a2a778
128255330195
133cb8548554
1420983b6121
15117b746e6e
hex9db3fe801

42333104129 has 2 divisors, whose sum is σ = 42333104130. Its totient is φ = 42333104128.

The previous prime is 42333104069. The next prime is 42333104137. The reversal of 42333104129 is 92140133324.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39473742400 + 2859361729 = 198680^2 + 53473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42333104129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42333104095 and 42333104104.

It is not a weakly prime, because it can be changed into another prime (42333104179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21166552064 + 21166552065.

It is an arithmetic number, because the mean of its divisors is an integer number (21166552065).

Almost surely, 242333104129 is an apocalyptic number.

It is an amenable number.

42333104129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42333104129 is an equidigital number, since it uses as much as digits as its factorization.

42333104129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 42333104129 in words is "forty-two billion, three hundred thirty-three million, one hundred four thousand, one hundred twenty-nine".