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11120201020064 = 254319969158771
BaseRepresentation
bin1010000111010001111110…
…1000011011001010100000
31110101002011221002011111102
42201310133220123022200
52424143132430120224
635352314432333532
72225256643042133
oct241643750331240
943332157064442
1011120201020064
1135a8061633414
1212b72049a42a8
13628827161ab6
142a631348821a
151443de11b4ae
hexa1d1fa1b2a0

11120201020064 has 96 divisors (see below), whose sum is σ = 22547572185600. Its totient is φ = 5395593772800.

The previous prime is 11120201020063. The next prime is 11120201020121. The reversal of 11120201020064 is 46002010202111.

It is a happy number.

It is a super-2 number, since 2×111202010200642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120201020063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189182999 + ... + 189241769.

It is an arithmetic number, because the mean of its divisors is an integer number (234870543600).

Almost surely, 211120201020064 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 11120201020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273786092800).

11120201020064 is an abundant number, since it is smaller than the sum of its proper divisors (11427371165536).

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

11120201020064 is a wasteful number, since it uses less digits than its factorization.

11120201020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59714 (or 59706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11120201020064 its reverse (46002010202111), we get a palindrome (57122211222175).

The spelling of 11120201020064 in words is "eleven trillion, one hundred twenty billion, two hundred one million, twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 43 86 172 199 344 398 688 691 796 1376 1382 1592 2764 3184 5528 6368 8557 11056 17114 22112 29713 34228 58771 59426 68456 117542 118852 136912 137509 235084 237704 273824 275018 470168 475408 550036 940336 950816 1100072 1880672 2200144 2527153 4400288 5054306 5912887 10108612 11695429 11825774 20217224 23390858 23651548 40434448 40610761 46781716 47303096 80868896 81221522 93563432 94606192 162443044 187126864 189212384 324886088 374253728 502903447 649772176 1005806894 1299544352 1746262723 2011613788 3492525446 4023227576 6985050892 8046455152 8081541439 13970101784 16092910304 16163082878 27940203568 32326165756 55880407136 64652331512 129304663024 258609326048 347506281877 695012563754 1390025127508 2780050255016 5560100510032 11120201020064