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212442222033 = 32206931140709
BaseRepresentation
bin1100010111011010001…
…0110000110111010001
3202022100110112001102200
43011312202300313101
511440040202101113
6241332234033413
721230342043546
oct3056642606721
9668313461380
10212442222033
1182107106828
123520a578869
1317057c89332
14a3d4734bcd
1557d5948873
hex31768b0dd1

212442222033 has 12 divisors (see below), whose sum is σ = 306876085620. Its totient is φ = 141621179616.

The previous prime is 212442222007. The next prime is 212442222043. The reversal of 212442222033 is 330222244212.

212442222033 is a `hidden beast` number, since 2 + 12 + 4 + 422 + 220 + 3 + 3 = 666.

212442222033 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 2 ways, for example, as 146212170129 + 66230051904 = 382377^2 + 257352^2 .

It is not a de Polignac number, because 212442222033 - 217 = 212442090961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212442221988 and 212442222006.

It is not an unprimeable number, because it can be changed into a prime (212442222043) 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 11 ways as a sum of consecutive naturals, for example, 384118 + ... + 756591.

It is an arithmetic number, because the mean of its divisors is an integer number (25573007135).

Almost surely, 2212442222033 is an apocalyptic number.

It is an amenable number.

212442222033 is a deficient number, since it is larger than the sum of its proper divisors (94433863587).

212442222033 is a wasteful number, since it uses less digits than its factorization.

212442222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161408 (or 1161405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212442222033 its reverse (330222244212), we get a palindrome (542664466245).

The spelling of 212442222033 in words is "two hundred twelve billion, four hundred forty-two million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 3 9 20693 62079 186237 1140709 3422127 10266381 23604691337 70814074011 212442222033