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222212111213041 is a prime number
BaseRepresentation
bin110010100001100111001001…
…111101000010000111110001
31002010210021022002121110122121
4302201213021331002013301
5213111210400432304131
62104334500140034241
764543203160401505
oct6241471175020761
91063707262543577
10222212111213041
11648926997a3a44
1220b0a242532981
1396cb6873291a1
143cc31a3100305
151aa53a8764911
hexca19c9f421f1

222212111213041 has 2 divisors, whose sum is σ = 222212111213042. Its totient is φ = 222212111213040.

The previous prime is 222212111213039. The next prime is 222212111213137. The reversal of 222212111213041 is 140312111212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115998392765025 + 106213718448016 = 10770255^2 + 10306004^2 .

It is a cyclic number.

It is not a de Polignac number, because 222212111213041 - 21 = 222212111213039 is a prime.

Together with 222212111213039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 222212111212997 and 222212111213015.

It is not a weakly prime, because it can be changed into another prime (222212111213341) 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, 111106055606520 + 111106055606521.

It is an arithmetic number, because the mean of its divisors is an integer number (111106055606521).

Almost surely, 2222212111213041 is an apocalyptic number.

It is an amenable number.

222212111213041 is a deficient number, since it is larger than the sum of its proper divisors (1).

222212111213041 is an equidigital number, since it uses as much as digits as its factorization.

222212111213041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 222212111213041 its reverse (140312111212222), we get a palindrome (362524222425263).

The spelling of 222212111213041 in words is "two hundred twenty-two trillion, two hundred twelve billion, one hundred eleven million, two hundred thirteen thousand, forty-one".