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222223201110329 is a prime number
BaseRepresentation
bin110010100001110001011110…
…111101101000100100111001
31002010211022220222012121210012
4302201301132331220210321
5213111401103441012304
62104343532415031305
764544045041101536
oct6241613675504471
91063738828177705
10222223201110329
116489736a752a11
1220b1041850b535
1396cc733a6aaa3
143cc3935cd1d8d
151aa580716016e
hexca1c5ef68939

222223201110329 has 2 divisors, whose sum is σ = 222223201110330. Its totient is φ = 222223201110328.

The previous prime is 222223201110277. The next prime is 222223201110397. The reversal of 222223201110329 is 923011102322222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219422006410000 + 2801194700329 = 14812900^2 + 1673677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222223201110329 is a prime.

It is a super-2 number, since 2×2222232011103292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222223201110295 and 222223201110304.

It is not a weakly prime, because it can be changed into another prime (222223201118329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111111600555164 + 111111600555165.

It is an arithmetic number, because the mean of its divisors is an integer number (111111600555165).

Almost surely, 2222223201110329 is an apocalyptic number.

It is an amenable number.

222223201110329 is a deficient number, since it is larger than the sum of its proper divisors (1).

222223201110329 is an equidigital number, since it uses as much as digits as its factorization.

222223201110329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 222223201110329 in words is "two hundred twenty-two trillion, two hundred twenty-three billion, two hundred one million, one hundred ten thousand, three hundred twenty-nine".