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42133033301 is a prime number
BaseRepresentation
bin100111001111010100…
…110001000101010101
311000202022201212002212
4213033110301011111
51142242024031201
631204453043205
73021044605532
oct471724610525
9130668655085
1042133033301
1116960aa9587
1281ba326505
133c85c67c48
1420799b5d89
151168dc6abb
hex9cf531155

42133033301 has 2 divisors, whose sum is σ = 42133033302. Its totient is φ = 42133033300.

The previous prime is 42133033297. The next prime is 42133033303. The reversal of 42133033301 is 10333033124.

42133033301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42096370276 + 36663025 = 205174^2 + 6055^2 .

It is a cyclic number.

It is not a de Polignac number, because 42133033301 - 22 = 42133033297 is a prime.

Together with 42133033303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42133033303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21066516650 + 21066516651.

It is an arithmetic number, because the mean of its divisors is an integer number (21066516651).

Almost surely, 242133033301 is an apocalyptic number.

It is an amenable number.

42133033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133033301 is an equidigital number, since it uses as much as digits as its factorization.

42133033301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 42133033301 its reverse (10333033124), we get a palindrome (52466066425).

The spelling of 42133033301 in words is "forty-two billion, one hundred thirty-three million, thirty-three thousand, three hundred one".