Search a number
-
+
233312200001 is a prime number
BaseRepresentation
bin1101100101001001111…
…1011010010101000001
3211022012221001210002122
43121102133122111001
512310310410400001
6255103202054025
722566456656426
oct3312237322501
9738187053078
10233312200001
118aa46722101
123927394a315
131900297861a
14b41439dd4d
156107c60b1b
hex36527da541

233312200001 has 2 divisors, whose sum is σ = 233312200002. Its totient is φ = 233312200000.

The previous prime is 233312199971. The next prime is 233312200007. The reversal of 233312200001 is 100002213332.

233312200001 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., 143926149376 + 89386050625 = 379376^2 + 298975^2 .

It is a cyclic number.

It is not a de Polignac number, because 233312200001 - 26 = 233312199937 is a prime.

It is not a weakly prime, because it can be changed into another prime (233312200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656100000 + 116656100001.

It is an arithmetic number, because the mean of its divisors is an integer number (116656100001).

Almost surely, 2233312200001 is an apocalyptic number.

It is an amenable number.

233312200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233312200001 is an equidigital number, since it uses as much as digits as its factorization.

233312200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 233312200001 its reverse (100002213332), we get a palindrome (333314413333).

The spelling of 233312200001 in words is "two hundred thirty-three billion, three hundred twelve million, two hundred thousand, one".