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20144104121 is a prime number
BaseRepresentation
bin10010110000101011…
…101010001010111001
31220222212200111221102
4102300223222022321
5312223342312441
613130514021145
71312122026351
oct226053521271
956885614842
1020144104121
1185a7904639
123aa22777b5
131b904c104b
14d914b7b61
157cd73369b
hex4b0aea2b9

20144104121 has 2 divisors, whose sum is σ = 20144104122. Its totient is φ = 20144104120.

The previous prime is 20144104109. The next prime is 20144104147. The reversal of 20144104121 is 12140144102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19821542521 + 322561600 = 140789^2 + 17960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20144104121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20144104093 and 20144104102.

It is not a weakly prime, because it can be changed into another prime (20144304121) 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, 10072052060 + 10072052061.

It is an arithmetic number, because the mean of its divisors is an integer number (10072052061).

Almost surely, 220144104121 is an apocalyptic number.

It is an amenable number.

20144104121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20144104121 is an equidigital number, since it uses as much as digits as its factorization.

20144104121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20144104121 its reverse (12140144102), we get a palindrome (32284248223).

The spelling of 20144104121 in words is "twenty billion, one hundred forty-four million, one hundred four thousand, one hundred twenty-one".