Search a number
-
+
11110365510112 = 25111011493209317
BaseRepresentation
bin1010000110101101010101…
…1000111011100111100000
31110100010210110211111022001
42201223111120323213200
52424013012032310422
635344010443253344
72224461133430041
oct241532530734740
943303713744261
1011110365510112
1135a39747581a0
1212b531ab1a254
1362791a577a1b
142a5a5d1028c8
15144015901227
hexa1ad563b9e0

11110365510112 has 96 divisors (see below), whose sum is σ = 24114548846304. Its totient is φ = 4996791552000.

The previous prime is 11110365510107. The next prime is 11110365510121. The reversal of 11110365510112 is 21101556301111.

11110365510112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 52974478 + ... + 53183794.

It is an arithmetic number, because the mean of its divisors is an integer number (251193217149).

Almost surely, 211110365510112 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 11110365510112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057274423152).

11110365510112 is an abundant number, since it is smaller than the sum of its proper divisors (13004183336192).

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

11110365510112 is a wasteful number, since it uses less digits than its factorization.

11110365510112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210932 (or 210924 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 11110365510112 in words is "eleven trillion, one hundred ten billion, three hundred sixty-five million, five hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1493 1616 2222 2986 3232 4444 5972 8888 11944 16423 17776 23888 32846 35552 47776 65692 131384 150793 209317 262768 301586 418634 525536 603172 837268 1206344 1658723 1674536 2302487 2412688 3317446 3349072 4604974 4825376 6634892 6698144 9209948 13269784 18419896 21141017 26539568 36839792 42282034 53079136 73679584 84564068 169128136 232551187 312510281 338256272 465102374 625020562 676512544 930204748 1250041124 1860409496 2500082248 3437613091 3720818992 5000164496 6875226182 7441637984 10000328992 13750452364 27500904728 31563538381 55001809456 63127076762 110003618912 126254153524 252508307048 347198922191 505016614096 694397844382 1010033228192 1388795688764 2777591377528 5555182755056 11110365510112