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2232200022313 is a prime number
BaseRepresentation
bin100000011110111001011…
…111010100100100101001
321220101200212011011002111
4200132321133110210221
5243033021201203223
64425243013202321
7320161666062112
oct40367137244451
97811625134074
102232200022313
117907417a0378
123007473303a1
13132659987191
147a079261209
153d0e829e30d
hex207b97d4929

2232200022313 has 2 divisors, whose sum is σ = 2232200022314. Its totient is φ = 2232200022312.

The previous prime is 2232200022307. The next prime is 2232200022389. The reversal of 2232200022313 is 3132200022322.

2232200022313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2050371975744 + 181828046569 = 1431912^2 + 426413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232200022313 is a prime.

It is a super-3 number, since 3×22322000223133 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2232200029313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116100011156 + 1116100011157.

It is an arithmetic number, because the mean of its divisors is an integer number (1116100011157).

Almost surely, 22232200022313 is an apocalyptic number.

It is an amenable number.

2232200022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232200022313 is an equidigital number, since it uses as much as digits as its factorization.

2232200022313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2232200022313 its reverse (3132200022322), we get a palindrome (5364400044635).

Subtracting 2232200022313 from its reverse (3132200022322), we obtain a palindrome (900000000009).

The spelling of 2232200022313 in words is "two trillion, two hundred thirty-two billion, two hundred million, twenty-two thousand, three hundred thirteen".