Search a number
-
+
111100002000208 = 24134952310785587
BaseRepresentation
bin11001010000101101111100…
…001001110101110101010000
3112120101001112011101011121121
4121100231330021311311100
5104030230301003001313
61032142345240132024
732254465422324604
oct3120557411656520
9476331464334547
10111100002000208
1132444278837a51
1210563b11a67014
1349cb8ba5c9c90
141d613a97a9504
15cc9e7545b28d
hex650b7c275d50

111100002000208 has 40 divisors (see below), whose sum is σ = 231819129688608. Its totient is φ = 51275883829632.

The previous prime is 111100002000193. The next prime is 111100002000209. The reversal of 111100002000208 is 802000200001111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111100002000191 and 111100002000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100002000209) 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 7 ways as a sum of consecutive naturals, for example, 4907991 + ... + 15693577.

Almost surely, 2111100002000208 is an apocalyptic number.

It is an amenable number.

111100002000208 is an abundant number, since it is smaller than the sum of its proper divisors (120719127688400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111100002000208 is a wasteful number, since it uses less digits than its factorization.

111100002000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835131 (or 10835125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111100002000208 its reverse (802000200001111), we get a palindrome (913100202001319).

The spelling of 111100002000208 in words is "one hundred eleven trillion, one hundred billion, two million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 208 49523 99046 198092 396184 643799 792368 1287598 2575196 5150392 10300784 10785587 21571174 43142348 86284696 140212631 172569392 280425262 560850524 1121701048 2243402096 534134625001 1068269250002 2136538500004 4273077000008 6943750125013 8546154000016 13887500250026 27775000500052 55550001000104 111100002000208