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111002002112 = 26172693471093
BaseRepresentation
bin110011101100000111…
…1000010001011000000
3101121111220211221212102
41213120033002023000
53304313003031422
6122554342045532
711006506310261
oct1473017021300
9347456757772
10111002002112
1143091811131
121961a4198a8
13a60cc88471
1455302d2968
152d4a072192
hex19d83c22c0

111002002112 has 112 divisors (see below), whose sum is σ = 234983060640. Its totient is φ = 51844595712.

The previous prime is 111002002081. The next prime is 111002002159. The reversal of 111002002112 is 211200200111.

It is a junction number, because it is equal to n+sod(n) for n = 111002002093 and 111002002102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101556638 + ... + 101557730.

Almost surely, 2111002002112 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 111002002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117491530320).

111002002112 is an abundant number, since it is smaller than the sum of its proper divisors (123981058528).

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

111002002112 is a wasteful number, since it uses less digits than its factorization.

111002002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111002002112 its reverse (211200200111), we get a palindrome (322202202223).

The spelling of 111002002112 in words is "one hundred eleven billion, two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 269 272 347 538 544 694 1076 1088 1093 1388 2152 2186 2776 4304 4372 4573 5552 5899 8608 8744 9146 11104 11798 17216 17488 18292 18581 22208 23596 34976 36584 37162 47192 69952 73168 74324 93343 94384 146336 148648 186686 188768 292672 294017 297296 373372 377536 379271 588034 594592 746744 758542 1176068 1189184 1493488 1517084 1586831 2352136 2986976 3034168 3173662 4704272 4998289 5973952 6068336 6347324 6447607 9408544 9996578 12136672 12694648 12895214 18817088 19993156 24273344 25389296 25790428 39986312 50778592 51580856 79972624 101557184 102023899 103161712 159945248 204047798 206323424 319890496 408095596 412646848 816191192 1632382384 1734406283 3264764768 3468812566 6529529536 6937625132 13875250264 27750500528 55501001056 111002002112