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113330222221 is a prime number
BaseRepresentation
bin110100110001100000…
…0011111010010001101
3101211112011210210102211
41221203000133102031
53324100014102341
6124021351550421
711121266665066
oct1514300372215
9354464723384
10113330222221
1144076a57387
1219b6a08b411
13a8c14313b8
1456b15c956d
152e3466a181
hex1a6301f48d

113330222221 has 2 divisors, whose sum is σ = 113330222222. Its totient is φ = 113330222220.

The previous prime is 113330222219. The next prime is 113330222281. The reversal of 113330222221 is 122222033311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86019024100 + 27311198121 = 293290^2 + 165261^2 .

It is a cyclic number.

It is not a de Polignac number, because 113330222221 - 21 = 113330222219 is a prime.

It is a super-2 number, since 2×1133302222212 (a number of 23 digits) contains 22 as substring.

Together with 113330222219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113330222192 and 113330222201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113330222281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56665111110 + 56665111111.

It is an arithmetic number, because the mean of its divisors is an integer number (56665111111).

Almost surely, 2113330222221 is an apocalyptic number.

It is an amenable number.

113330222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

113330222221 is an equidigital number, since it uses as much as digits as its factorization.

113330222221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 113330222221 its reverse (122222033311), we get a palindrome (235552255532).

The spelling of 113330222221 in words is "one hundred thirteen billion, three hundred thirty million, two hundred twenty-two thousand, two hundred twenty-one".