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212222212111193 is a prime number
BaseRepresentation
bin110000010000001111010101…
…100100001111101101011001
31000211102020121212000000012012
4300100033111210033231121
5210304022042300024233
62031205312140155305
762462356153161644
oct6020172544175531
91024366555000165
10212222212111193
1161690a3112a239
121b976105538b35
139155612a5769b
143a598776baa5b
1519805c04b0548
hexc103d590fb59

212222212111193 has 2 divisors, whose sum is σ = 212222212111194. Its totient is φ = 212222212111192.

The previous prime is 212222212111177. The next prime is 212222212111211. The reversal of 212222212111193 is 391111212222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211266457560064 + 955754551129 = 14535008^2 + 977627^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222212111193 - 24 = 212222212111177 is a prime.

It is a super-3 number, since 3×2122222121111933 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212222212111993) 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, 106111106055596 + 106111106055597.

It is an arithmetic number, because the mean of its divisors is an integer number (106111106055597).

Almost surely, 2212222212111193 is an apocalyptic number.

It is an amenable number.

212222212111193 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222212111193 is an equidigital number, since it uses as much as digits as its factorization.

212222212111193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 32.

The spelling of 212222212111193 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, one hundred ninety-three".