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220301233322113 is a prime number
BaseRepresentation
bin110010000101110011100000…
…110000010111100010000001
31001220000120222201201211212001
4302011303200300113202001
5212333403411212301423
62100312553415104001
764255144634333266
oct6205634060274201
91056016881654761
10220301233322113
1164216256a72859
122085ba31372001
1395c0417a61ac8
143c588cab0926d
151a70819a02cad
hexc85ce0c17881

220301233322113 has 2 divisors, whose sum is σ = 220301233322114. Its totient is φ = 220301233322112.

The previous prime is 220301233322077. The next prime is 220301233322119. The reversal of 220301233322113 is 311223332103022.

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., 219774457843264 + 526775478849 = 14824792^2 + 725793^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220301233322113 is a prime.

It is not a weakly prime, because it can be changed into another prime (220301233322119) 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, 110150616661056 + 110150616661057.

It is an arithmetic number, because the mean of its divisors is an integer number (110150616661057).

Almost surely, 2220301233322113 is an apocalyptic number.

It is an amenable number.

220301233322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220301233322113 is an equidigital number, since it uses as much as digits as its factorization.

220301233322113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 220301233322113 its reverse (311223332103022), we get a palindrome (531524565425135).

The spelling of 220301233322113 in words is "two hundred twenty trillion, three hundred one billion, two hundred thirty-three million, three hundred twenty-two thousand, one hundred thirteen".