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222131043121 = 1353322396289
BaseRepresentation
bin1100111011100000001…
…0101011101100110001
3210020100200202011100011
43032320002223230301
512114411021334441
6250013503054521
722022420466421
oct3167002535461
9706320664304
10222131043121
1186229201489
12370732a1441
1317c40363670
14aa73414481
155ba133a581
hex33b80abb31

222131043121 has 8 divisors (see below), whose sum is σ = 243731595240. Its totient is φ = 201175283712.

The previous prime is 222131043119. The next prime is 222131043139. The reversal of 222131043121 is 121340131222.

222131043121 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 4 ways, for example, as 7484153121 + 214646890000 = 86511^2 + 463300^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 222131043121 - 21 = 222131043119 is a prime.

It is a super-2 number, since 2×2221310431212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222131043092 and 222131043101.

It is not an unprimeable number, because it can be changed into a prime (222131043221) 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 7 ways as a sum of consecutive naturals, for example, 161197456 + ... + 161198833.

It is an arithmetic number, because the mean of its divisors is an integer number (30466449405).

Almost surely, 2222131043121 is an apocalyptic number.

It is an amenable number.

222131043121 is a deficient number, since it is larger than the sum of its proper divisors (21600552119).

222131043121 is a wasteful number, since it uses less digits than its factorization.

222131043121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322396355.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 222131043121 its reverse (121340131222), we get a palindrome (343471174343).

The spelling of 222131043121 in words is "two hundred twenty-two billion, one hundred thirty-one million, forty-three thousand, one hundred twenty-one".

Divisors: 1 13 53 689 322396289 4191151757 17087003317 222131043121