Search a number
-
+
222101011110029 is a prime number
BaseRepresentation
bin110010011111111111101011…
…110111110001100010001101
31002010101122112100011110122112
4302133333223313301202031
5213102400332321010104
62104211443531153405
764532161050165602
oct6237775367614215
91063348470143575
10222101011110029
116484a567679197
1220ab07b72a5865
1396c105cc4376c
143cbba63b926a9
151aa2554cb586e
hexc9ffebdf188d

222101011110029 has 2 divisors, whose sum is σ = 222101011110030. Its totient is φ = 222101011110028.

The previous prime is 222101011109969. The next prime is 222101011110067. The reversal of 222101011110029 is 920011110101222.

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., 142848463397929 + 79252547712100 = 11951923^2 + 8902390^2 .

It is a cyclic number.

It is not a de Polignac number, because 222101011110029 - 232 = 222096716142733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222101011109986 and 222101011110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222101011110079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111050505555014 + 111050505555015.

It is an arithmetic number, because the mean of its divisors is an integer number (111050505555015).

Almost surely, 2222101011110029 is an apocalyptic number.

It is an amenable number.

222101011110029 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101011110029 is an equidigital number, since it uses as much as digits as its factorization.

222101011110029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 222101011110029 in words is "two hundred twenty-two trillion, one hundred one billion, eleven million, one hundred ten thousand, twenty-nine".