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222112210081 is a prime number
BaseRepresentation
bin1100111011011011101…
…0110101110010100001
3210020022101022100021011
43032312322311302201
512114341211210311
6250011551300521
722022101430536
oct3166672656241
9706271270234
10222112210081
1186219608993
1237068b1a741
1317c3949b458
14aa70b10d8d
155b9e86a321
hex33b6eb5ca1

222112210081 has 2 divisors, whose sum is σ = 222112210082. Its totient is φ = 222112210080.

The previous prime is 222112210079. The next prime is 222112210127. The reversal of 222112210081 is 180012211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216745182481 + 5367027600 = 465559^2 + 73260^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112210081 - 21 = 222112210079 is a prime.

It is a super-3 number, since 3×2221122100813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 222112210079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (222112211081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056105040 + 111056105041.

It is an arithmetic number, because the mean of its divisors is an integer number (111056105041).

Almost surely, 2222112210081 is an apocalyptic number.

It is an amenable number.

222112210081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112210081 is an equidigital number, since it uses as much as digits as its factorization.

222112210081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 222112210081 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, eighty-one".