Search a number
-
+
21002000133033 = 339766611203887
BaseRepresentation
bin1001100011001111010001…
…10000011110101110101001
32202100202211111111012212000
410301213220300132232221
510223044044013224113
6112400104034241213
74265226066435363
oct461475060365651
982322744435760
1021002000133033
116767997610537
1224323b3426209
13b94631a7233a
14528706195d33
1526649bed9373
hex1319e8c1eba9

21002000133033 has 32 divisors (see below), whose sum is σ = 31439583275520. Its totient is φ = 13854897953280.

The previous prime is 21002000133017. The next prime is 21002000133047. The reversal of 21002000133033 is 33033100020012.

21002000133033 is a `hidden beast` number, since 2 + 100 + 200 + 0 + 1 + 330 + 33 = 666.

It is not a de Polignac number, because 21002000133033 - 24 = 21002000133017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21002000132997 and 21002000133015.

It is not an unprimeable number, because it can be changed into a prime (21002000133533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16843216 + ... + 18047102.

It is an arithmetic number, because the mean of its divisors is an integer number (982486977360).

Almost surely, 221002000133033 is an apocalyptic number.

It is an amenable number.

21002000133033 is a deficient number, since it is larger than the sum of its proper divisors (10437583142487).

21002000133033 is a wasteful number, since it uses less digits than its factorization.

21002000133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210654 (or 1210648 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21002000133033 its reverse (33033100020012), we get a palindrome (54035100153045).

The spelling of 21002000133033 in words is "twenty-one trillion, two billion, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 27 97 291 873 2619 6661 19983 59949 179847 646117 1203887 1938351 3611661 5815053 10834983 17445159 32504949 116777039 350331117 1050993351 3152980053 8019091307 24057273921 72171821763 216515465289 777851856779 2333555570337 7000666711011 21002000133033