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222201121102249 is a prime number
BaseRepresentation
bin110010100001011100111010…
…111001000101100110101001
31002010202012221011202222212011
4302201130322321011212221
5213111020344000232444
62104325441423515521
764542333631114252
oct6241347271054651
91063665834688764
10222201121102249
1164888a6a100053
1220b08095a58ba1
1396ca625484b53
143cc283d685b29
151aa4e639ca734
hexca173ae459a9

222201121102249 has 2 divisors, whose sum is σ = 222201121102250. Its totient is φ = 222201121102248.

The previous prime is 222201121102217. The next prime is 222201121102267. The reversal of 222201121102249 is 942201121102222.

It is a happy number.

222201121102249 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., 217708756071849 + 4492365030400 = 14754957^2 + 2119520^2 .

It is a cyclic number.

It is not a de Polignac number, because 222201121102249 - 25 = 222201121102217 is a prime.

It is a super-3 number, since 3×2222011211022493 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222201121102249.

It is not a weakly prime, because it can be changed into another prime (222201121100249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111100560551124 + 111100560551125.

It is an arithmetic number, because the mean of its divisors is an integer number (111100560551125).

Almost surely, 2222201121102249 is an apocalyptic number.

It is an amenable number.

222201121102249 is a deficient number, since it is larger than the sum of its proper divisors (1).

222201121102249 is an equidigital number, since it uses as much as digits as its factorization.

222201121102249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 222201121102249 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, two hundred forty-nine".