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2232331033301 is a prime number
BaseRepresentation
bin100000011111000001010…
…011000101101011010101
321220102000222200012101022
4200133001103011223111
5243033303221031201
64425304013210525
7320165146463255
oct40370123055325
97812028605338
102232331033301
117907a9742916
12300783190a45
1313267ab67b85
147a08c805965
153d104a2c41b
hex207c14c5ad5

2232331033301 has 2 divisors, whose sum is σ = 2232331033302. Its totient is φ = 2232331033300.

The previous prime is 2232331033223. The next prime is 2232331033357. The reversal of 2232331033301 is 1033301332322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2083490164900 + 148840868401 = 1443430^2 + 385799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232331033301 - 214 = 2232331016917 is a prime.

It is a super-3 number, since 3×22323310333013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232331033201) 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, 1116165516650 + 1116165516651.

It is an arithmetic number, because the mean of its divisors is an integer number (1116165516651).

Almost surely, 22232331033301 is an apocalyptic number.

It is an amenable number.

2232331033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232331033301 is an equidigital number, since it uses as much as digits as its factorization.

2232331033301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 2232331033301 its reverse (1033301332322), we get a palindrome (3265632365623).

The spelling of 2232331033301 in words is "two trillion, two hundred thirty-two billion, three hundred thirty-one million, thirty-three thousand, three hundred one".