Search a number
-
+
201112000033 = 71719241911173
BaseRepresentation
bin1011101101001100110…
…1011001011000100001
3201020002211201010202211
42323103031121120201
511243334133000113
6232220052042121
720346512536420
oct2732315313041
9636084633684
10201112000033
117832253229a
1232b88003341
1315c70811b69
149a3ba652b7
155370dcab3d
hex2ed3359621

201112000033 has 48 divisors (see below), whose sum is σ = 257481141120. Its totient is φ = 153322025472.

The previous prime is 201112000003. The next prime is 201112000043. The reversal of 201112000033 is 330000211102.

201112000033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201112000033 - 229 = 200575129121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201111999977 and 201112000022.

It is not an unprimeable number, because it can be changed into a prime (201112000003) 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 47 ways as a sum of consecutive naturals, for example, 17994235 + ... + 18005407.

It is an arithmetic number, because the mean of its divisors is an integer number (5364190440).

Almost surely, 2201112000033 is an apocalyptic number.

It is an amenable number.

201112000033 is a deficient number, since it is larger than the sum of its proper divisors (56369141087).

201112000033 is a wasteful number, since it uses less digits than its factorization.

201112000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 11635 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201112000033 its reverse (330000211102), we get a palindrome (531112211135).

The spelling of 201112000033 in words is "two hundred one billion, one hundred twelve million, thirty-three", and thus it is an aban number.

Divisors: 1 7 17 19 119 133 323 361 419 2261 2527 2933 6137 7123 7961 11173 42959 49861 55727 78211 135337 151259 189941 212287 947359 1058813 1329587 1486009 2571403 3608879 4033453 4681487 17999821 25262153 28234171 32770409 68568701 79585279 88948253 479980907 557096953 622637771 1512120301 1690016807 10584842107 11830117649 28730285719 201112000033