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20033313101 is a prime number
BaseRepresentation
bin10010101010000101…
…000001100101001101
31220201011012202020022
4102222011001211031
5312012012004401
613111515231525
71306305231434
oct225205014515
956634182208
1020033313101
11855031270a
123a711485a5
131b7356c929
14d808b811b
157c3b4b71b
hex4aa14194d

20033313101 has 2 divisors, whose sum is σ = 20033313102. Its totient is φ = 20033313100.

The previous prime is 20033313023. The next prime is 20033313103. The reversal of 20033313101 is 10131333002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14191003876 + 5842309225 = 119126^2 + 76435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20033313101 is a prime.

Together with 20033313103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20033313101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20033313103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10016656550 + 10016656551.

It is an arithmetic number, because the mean of its divisors is an integer number (10016656551).

Almost surely, 220033313101 is an apocalyptic number.

It is an amenable number.

20033313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20033313101 is an equidigital number, since it uses as much as digits as its factorization.

20033313101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 20033313101 its reverse (10131333002), we get a palindrome (30164646103).

The spelling of 20033313101 in words is "twenty billion, thirty-three million, three hundred thirteen thousand, one hundred one".