Search a number
-
+
222100111001081 is a prime number
BaseRepresentation
bin110010011111111110110110…
…001110001000010111111001
31002010101120012121110012022002
4302133332312032020113321
5213102342011404013311
62104211214334510345
764532126540324345
oct6237766616102771
91063346177405262
10222100111001081
116484a145581aa5
1220ab05a59653b5
1396c0c4860c611
143cbb9ba408625
151aa2500c6693b
hexc9ffb63885f9

222100111001081 has 2 divisors, whose sum is σ = 222100111001082. Its totient is φ = 222100111001080.

The previous prime is 222100111001057. The next prime is 222100111001101. The reversal of 222100111001081 is 180100111001222.

It is a happy number.

It is an a-pointer prime, because the next prime (222100111001101) can be obtained adding 222100111001081 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209874878469481 + 12225232531600 = 14487059^2 + 3496460^2 .

It is a cyclic number.

It is not a de Polignac number, because 222100111001081 - 230 = 222099037259257 is a prime.

It is a super-2 number, since 2×2221001110010812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222100111081081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050055500540 + 111050055500541.

It is an arithmetic number, because the mean of its divisors is an integer number (111050055500541).

Almost surely, 2222100111001081 is an apocalyptic number.

It is an amenable number.

222100111001081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222100111001081 is an equidigital number, since it uses as much as digits as its factorization.

222100111001081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

The spelling of 222100111001081 in words is "two hundred twenty-two trillion, one hundred billion, one hundred eleven million, one thousand, eighty-one".