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101434120409 is a prime number
BaseRepresentation
bin101111001110111110…
…0011101100011011001
3100200211010012012121102
41132131330131203121
53130214113323114
6114333113121145
710220426540366
oct1363574354331
9320733165542
10101434120409
113a021a09a86
12177aa0b91b5
1397469767bb
144ca36d546d
15298a0be2de
hex179df1d8d9

101434120409 has 2 divisors, whose sum is σ = 101434120410. Its totient is φ = 101434120408.

The previous prime is 101434120391. The next prime is 101434120433. The reversal of 101434120409 is 904021434101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81290563225 + 20143557184 = 285115^2 + 141928^2 .

It is a cyclic number.

It is not a de Polignac number, because 101434120409 - 220 = 101433071833 is a prime.

It is not a weakly prime, because it can be changed into another prime (101434120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50717060204 + 50717060205.

It is an arithmetic number, because the mean of its divisors is an integer number (50717060205).

Almost surely, 2101434120409 is an apocalyptic number.

It is an amenable number.

101434120409 is a deficient number, since it is larger than the sum of its proper divisors (1).

101434120409 is an equidigital number, since it uses as much as digits as its factorization.

101434120409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 101434120409 in words is "one hundred one billion, four hundred thirty-four million, one hundred twenty thousand, four hundred nine".