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222132331121 = 1789277530021
BaseRepresentation
bin1100111011100000011…
…1100110001001110001
3210020100210011121010212
43032320013212021301
512114411334043441
6250013550433505
722022434442501
oct3167007461161
9706323147125
10222132331121
1186229a01148
1237073802895
1317c406c49ac
14aa7366ba01
155ba14e1eeb
hex33b81e6271

222132331121 has 16 divisors (see below), whose sum is σ = 238700707920. Its totient is φ = 205970012160.

The previous prime is 222132331103. The next prime is 222132331133. The reversal of 222132331121 is 121133231222.

222132331121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 163200625 + 221969130496 = 12775^2 + 471136^2 .

It is a cyclic number.

It is not a de Polignac number, because 222132331121 - 210 = 222132330097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222132331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154091 + ... + 684111.

It is an arithmetic number, because the mean of its divisors is an integer number (14918794245).

Almost surely, 2222132331121 is an apocalyptic number.

It is an amenable number.

222132331121 is a deficient number, since it is larger than the sum of its proper divisors (16568376799).

222132331121 is a wasteful number, since it uses less digits than its factorization.

222132331121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530404.

The product of its digits is 864, while the sum is 23.

Adding to 222132331121 its reverse (121133231222), we get a palindrome (343265562343).

The spelling of 222132331121 in words is "two hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 17 89 277 1513 4709 24653 419101 530021 9010357 47171869 146815817 801921773 2495868889 13066607713 222132331121