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213021200133 = 33710919752489
BaseRepresentation
bin1100011001100100001…
…1011000111100000101
3202100211210222012002000
43012121003120330011
511442231411401013
6241505515335513
721250602216420
oct3063103307405
9670753865060
10213021200133
1182383a06625
1235350451599
131711ac04621
14a44b5a89b7
15581b6b2973
hex31990d8f05

213021200133 has 64 divisors (see below), whose sum is σ = 365834304000. Its totient is φ = 119995126272.

The previous prime is 213021200129. The next prime is 213021200149. The reversal of 213021200133 is 331002120312.

It is not a de Polignac number, because 213021200133 - 22 = 213021200129 is a prime.

It is a super-2 number, since 2×2130212001332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213021200113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4032153 + ... + 4084641.

It is an arithmetic number, because the mean of its divisors is an integer number (5716161000).

Almost surely, 2213021200133 is an apocalyptic number.

It is an amenable number.

213021200133 is a deficient number, since it is larger than the sum of its proper divisors (152813103867).

213021200133 is a wasteful number, since it uses less digits than its factorization.

213021200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52811 (or 52805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213021200133 its reverse (331002120312), we get a palindrome (544023320445).

The spelling of 213021200133 in words is "two hundred thirteen billion, twenty-one million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 109 189 197 327 591 763 981 1379 1773 2289 2943 4137 5319 6867 12411 20601 21473 37233 52489 64419 150311 157467 193257 367423 450933 472401 579771 1102269 1352799 1417203 3306807 4058397 5721301 9920421 10340333 17163903 31020999 40049107 51491709 72382331 93062997 120147321 154475127 217146993 279188991 360441963 651440979 1081325889 1127096297 1954322937 3381288891 7889674079 10143866673 23669022237 30431600019 71007066711 213021200133