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222112100202281 is a prime number
BaseRepresentation
bin110010100000001010000000…
…110101010011011100101001
31002010102201011011020201110222
4302200022000311103130221
5213103041040122433111
62104220520141015425
764533032621003612
oct6240120065233451
91063381134221428
10222112100202281
1164854238128343
1220ab2990b54575
1396c2109462b03
143cbc3d6814c09
151aa29a35a27db
hexca0280d53729

222112100202281 has 2 divisors, whose sum is σ = 222112100202282. Its totient is φ = 222112100202280.

The previous prime is 222112100202199. The next prime is 222112100202301. The reversal of 222112100202281 is 182202001211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136592607296656 + 85519492905625 = 11687284^2 + 9247675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222112100202281 is a prime.

It is a super-2 number, since 2×2221121002022812 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222112100202281.

It is not a weakly prime, because it can be changed into another prime (222112100202581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056050101140 + 111056050101141.

It is an arithmetic number, because the mean of its divisors is an integer number (111056050101141).

Almost surely, 2222112100202281 is an apocalyptic number.

It is an amenable number.

222112100202281 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112100202281 is an equidigital number, since it uses as much as digits as its factorization.

222112100202281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 222112100202281 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, two hundred eighty-one".