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1000222222081 is a prime number
BaseRepresentation
bin11101000111000011110…
…00111110011100000001
310112121202012120110212111
432203201320332130001
5112341423342101311
62043255025255321
7132156303415555
oct16434170763401
93477665513774
101000222222081
11356212406705
12141a24494541
13734223337b4
14365a7b71865
151b04100ed21
hexe8e1e3e701

1000222222081 has 2 divisors, whose sum is σ = 1000222222082. Its totient is φ = 1000222222080.

The previous prime is 1000222222033. The next prime is 1000222222091. The reversal of 1000222222081 is 1802222220001.

1000222222081 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., 688393793025 + 311828429056 = 829695^2 + 558416^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000222222081 - 27 = 1000222221953 is a prime.

It is a super-2 number, since 2×10002222220812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000222222091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500111111040 + 500111111041.

It is an arithmetic number, because the mean of its divisors is an integer number (500111111041).

Almost surely, 21000222222081 is an apocalyptic number.

It is an amenable number.

1000222222081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000222222081 is an equidigital number, since it uses as much as digits as its factorization.

1000222222081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1000222222081 its reverse (1802222220001), we get a palindrome (2802444442082).

The spelling of 1000222222081 in words is "one trillion, two hundred twenty-two million, two hundred twenty-two thousand, eighty-one".