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222112100202193 is a prime number
BaseRepresentation
bin110010100000001010000000…
…110101010011011011010001
31002010102201011011020201100201
4302200022000311103123101
5213103041040122432233
62104220520141015201
764533032621003425
oct6240120065233321
91063381134221321
10222112100202193
1164854238128273
1220ab2990b54501
1396c2109462a66
143cbc3d6814b85
151aa29a35a277d
hexca0280d536d1

222112100202193 has 2 divisors, whose sum is σ = 222112100202194. Its totient is φ = 222112100202192.

The previous prime is 222112100202173. The next prime is 222112100202199. The reversal of 222112100202193 is 391202001211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221670171742464 + 441928459729 = 14888592^2 + 664777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222112100202193 is a prime.

It is a super-2 number, since 2×2221121002021932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222112100202199) 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, 111056050101096 + 111056050101097.

It is an arithmetic number, because the mean of its divisors is an integer number (111056050101097).

Almost surely, 2222112100202193 is an apocalyptic number.

It is an amenable number.

222112100202193 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112100202193 is an equidigital number, since it uses as much as digits as its factorization.

222112100202193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 222112100202193 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred ninety-three".