Search a number
-
+
222120121021177 is a prime number
BaseRepresentation
bin110010100000010001011110…
…111010010011001011111001
31002010110110212010211112112111
4302200101132322103023321
5213103204001440134202
62104224324103012321
764533435443563351
oct6240213672231371
91063413763745474
10222120121021177
1164857683725295
1220ab444b13a0a1
1396c2ab70b4cb2
143cbc957b7bb61
151aa2cc28116d7
hexca045ee932f9

222120121021177 has 2 divisors, whose sum is σ = 222120121021178. Its totient is φ = 222120121021176.

The previous prime is 222120121021157. The next prime is 222120121021187. The reversal of 222120121021177 is 771120121021222.

222120121021177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188321524934841 + 33798596086336 = 13723029^2 + 5813656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222120121021177 is a prime.

It is a super-3 number, since 3×2221201210211773 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (222120121021147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060060510588 + 111060060510589.

It is an arithmetic number, because the mean of its divisors is an integer number (111060060510589).

Almost surely, 2222120121021177 is an apocalyptic number.

It is an amenable number.

222120121021177 is a deficient number, since it is larger than the sum of its proper divisors (1).

222120121021177 is an equidigital number, since it uses as much as digits as its factorization.

222120121021177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 31.

Adding to 222120121021177 its reverse (771120121021222), we get a palindrome (993240242042399).

The spelling of 222120121021177 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, one hundred seventy-seven".