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222120120220177 is a prime number
BaseRepresentation
bin110010100000010001011110…
…110111001111101000010001
31002010110110212002022211202211
4302200101132313033220101
5213103204001234021202
62104224324033512121
764533435434016154
oct6240213667175021
91063413762284684
10222120120220177
1164857683228503
1220ab444aa12641
1396c2ab6b9452a
143cbc957a0dc9b
151aa2cc27041d7
hexca045edcfa11

222120120220177 has 2 divisors, whose sum is σ = 222120120220178. Its totient is φ = 222120120220176.

The previous prime is 222120120220111. The next prime is 222120120220241. The reversal of 222120120220177 is 771022021021222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211585999632016 + 10534120588161 = 14545996^2 + 3245631^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222120120220177 is a prime.

It is a super-4 number, since 4×2221201202201774 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (222120120220777) 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, 111060060110088 + 111060060110089.

It is an arithmetic number, because the mean of its divisors is an integer number (111060060110089).

Almost surely, 2222120120220177 is an apocalyptic number.

It is an amenable number.

222120120220177 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120120220177 is an equidigital number, since it uses as much as digits as its factorization.

222120120220177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 31.

Adding to 222120120220177 its reverse (771022021021222), we get a palindrome (993142141241399).

The spelling of 222120120220177 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty thousand, one hundred seventy-seven".