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2232022320113 is a prime number
BaseRepresentation
bin100000011110101110111…
…001011100001111110001
321220101020110202221111112
4200132232321130033301
5243032140203220423
64425213224323105
7320154410453645
oct40365671341761
97811213687445
102232022320113
11790660458053
123006b7913495
1313262bc09151
147a05d804c25
153d0d789ba78
hex207aee5c3f1

2232022320113 has 2 divisors, whose sum is σ = 2232022320114. Its totient is φ = 2232022320112.

The previous prime is 2232022320109. The next prime is 2232022320137. The reversal of 2232022320113 is 3110232202322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1636334731249 + 595687588864 = 1279193^2 + 771808^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232022320113 - 22 = 2232022320109 is a prime.

It is a super-3 number, since 3×22320223201133 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232022320413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116011160056 + 1116011160057.

It is an arithmetic number, because the mean of its divisors is an integer number (1116011160057).

Almost surely, 22232022320113 is an apocalyptic number.

It is an amenable number.

2232022320113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232022320113 is an equidigital number, since it uses as much as digits as its factorization.

2232022320113 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 23.

Adding to 2232022320113 its reverse (3110232202322), we get a palindrome (5342254522435).

The spelling of 2232022320113 in words is "two trillion, two hundred thirty-two billion, twenty-two million, three hundred twenty thousand, one hundred thirteen".