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2232022321013 is a prime number
BaseRepresentation
bin100000011110101110111…
…001011100011101110101
321220101020110202222201212
4200132232321130131311
5243032140203233023
64425213224331205
7320154410456402
oct40365671343565
97811213688655
102232022321013
117906604587a1
123006b7913b05
1313262bc09694
147a05d8052a9
153d0d789be78
hex207aee5c775

2232022321013 has 2 divisors, whose sum is σ = 2232022321014. Its totient is φ = 2232022321012.

The previous prime is 2232022320977. The next prime is 2232022321037. The reversal of 2232022321013 is 3101232202322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1807782433444 + 424239887569 = 1344538^2 + 651337^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232022321013 - 224 = 2232005543797 is a prime.

It is a super-3 number, since 3×22320223210133 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232022321013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232022321063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116011160506 + 1116011160507.

It is an arithmetic number, because the mean of its divisors is an integer number (1116011160507).

Almost surely, 22232022321013 is an apocalyptic number.

It is an amenable number.

2232022321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232022321013 is an equidigital number, since it uses as much as digits as its factorization.

2232022321013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2232022321013 its reverse (3101232202322), we get a palindrome (5333254523335).

The spelling of 2232022321013 in words is "two trillion, two hundred thirty-two billion, twenty-two million, three hundred twenty-one thousand, thirteen".