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111200010208 = 2574719354727
BaseRepresentation
bin110011110010000001…
…0010111111111100000
3101122000201102210220121
41213210002113333200
53310214200311313
6123030134050024
711014432330330
oct1474402277740
9348021383817
10111200010208
1143183563591
12196747a9914
13a641cc5c11
14554c7170c0
152d5c63628d
hex19e4097fe0

111200010208 has 96 divisors (see below), whose sum is σ = 256852076544. Its totient is φ = 46400643072.

The previous prime is 111200010191. The next prime is 111200010209. The reversal of 111200010208 is 802010002111.

111200010208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 111200010191 and 111200010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200010209) 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 15 ways as a sum of consecutive naturals, for example, 2004541 + ... + 2059267.

It is an arithmetic number, because the mean of its divisors is an integer number (2675542464).

Almost surely, 2111200010208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111200010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128426038272).

111200010208 is an abundant number, since it is smaller than the sum of its proper divisors (145652066336).

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

111200010208 is a wasteful number, since it uses less digits than its factorization.

111200010208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54984 (or 54976 counting only the distinct ones).

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

Adding to 111200010208 its reverse (802010002111), we get a palindrome (913210012319).

The spelling of 111200010208 in words is "one hundred eleven billion, two hundred million, ten thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 193 224 329 376 386 658 752 772 1316 1351 1504 1544 2632 2702 3088 5264 5404 6176 9071 10528 10808 18142 21616 36284 43232 54727 63497 72568 109454 126994 145136 218908 253988 290272 383089 437816 507976 766178 875632 1015952 1532356 1751264 2031904 2572169 3064712 5144338 6129424 10288676 10562311 12258848 18005183 20577352 21124622 36010366 41154704 42249244 72020732 73936177 82309408 84498488 144041464 147872354 168996976 288082928 295744708 337993952 496428617 576165856 591489416 992857234 1182978832 1985714468 2365957664 3475000319 3971428936 6950000638 7942857872 13900001276 15885715744 27800002552 55600005104 111200010208