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20018912101 is a prime number
BaseRepresentation
bin10010101001001110…
…000101101101100101
31220200011010002202221
4102221032011231211
5311444320141401
613110242432341
71306041642136
oct225116055545
956604102687
1020018912101
118543176a61
123a683626b1
131b70599b26
14d7ca09c8d
157c27547a1
hex4a9385b65

20018912101 has 2 divisors, whose sum is σ = 20018912102. Its totient is φ = 20018912100.

The previous prime is 20018912099. The next prime is 20018912117. The reversal of 20018912101 is 10121981002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14364022500 + 5654889601 = 119850^2 + 75199^2 .

It is a cyclic number.

It is not a de Polignac number, because 20018912101 - 21 = 20018912099 is a prime.

Together with 20018912099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20018912131) 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, 10009456050 + 10009456051.

It is an arithmetic number, because the mean of its divisors is an integer number (10009456051).

Almost surely, 220018912101 is an apocalyptic number.

It is an amenable number.

20018912101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20018912101 is an equidigital number, since it uses as much as digits as its factorization.

20018912101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 20018912101 in words is "twenty billion, eighteen million, nine hundred twelve thousand, one hundred one".