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111200214008 = 23132615872297
BaseRepresentation
bin110011110010000001…
…1001001101111111000
3101122000201211011110202
41213210003021233320
53310214223322013
6123030142301332
711014434136442
oct1474403115770
9348021734422
10111200214008
1143183692714
1219674887848
13a642067900
14554c76b492
152d5c676858
hex19e40c9bf8

111200214008 has 96 divisors (see below), whose sum is σ = 229964812560. Its totient is φ = 50373872640.

The previous prime is 111200214007. The next prime is 111200214061. The reversal of 111200214008 is 800412002111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111200214007) 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 23 ways as a sum of consecutive naturals, for example, 48409916 + ... + 48412212.

Almost surely, 2111200214008 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 111200214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114982406280).

111200214008 is an abundant number, since it is smaller than the sum of its proper divisors (118764598552).

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

111200214008 is a wasteful number, since it uses less digits than its factorization.

111200214008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111200214008 its reverse (800412002111), we get a palindrome (911612216119).

The spelling of 111200214008 in words is "one hundred eleven billion, two hundred million, two hundred fourteen thousand, eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 169 244 338 488 587 676 793 1174 1352 1586 2297 2348 3172 4594 4696 6344 7631 9188 10309 15262 18376 20618 29861 30524 35807 41236 59722 61048 71614 82472 99203 119444 140117 143228 198406 238888 280234 286456 388193 396812 465491 560468 776386 793624 930982 1120936 1348339 1552772 1821521 1861964 2696678 3105544 3643042 3723928 5393356 6051383 7286084 10786712 12102766 14572168 17528407 23679773 24205532 35056814 47359546 48411064 70113628 82248679 94719092 140227256 164497358 189438184 227869291 328994716 455738582 657989432 911477164 1069232827 1822954328 2138465654 4276931308 8553862616 13900026751 27800053502 55600107004 111200214008