Search a number
-
+
110211201200112 = 24319703917168009
BaseRepresentation
bin11001000011110010001011…
…011111110110111111110000
3112110020002101002212101111220
4121003302023133312333300
5103421200020001400422
61030222154334305040
732133332210222625
oct3103621337667760
9473202332771456
10110211201200112
1132131342971871
121043b804358180
134965b4410259c
141d3037190834c
15cb1ca621ae5c
hex643c8b7f6ff0

110211201200112 has 80 divisors (see below), whose sum is σ = 299739720192000. Its totient is φ = 34798590807552.

The previous prime is 110211201200071. The next prime is 110211201200159. The reversal of 110211201200112 is 211002102112011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110211201200091 and 110211201200100.

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, 2164437 + ... + 15003572.

It is an arithmetic number, because the mean of its divisors is an integer number (3746746502400).

Almost surely, 2110211201200112 is an apocalyptic number.

110211201200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110211201200112 is an abundant number, since it is smaller than the sum of its proper divisors (189528518991888).

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

110211201200112 is a wasteful number, since it uses less digits than its factorization.

110211201200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175078 (or 17175072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110211201200112 its reverse (211002102112011), we get a palindrome (321213303312123).

The spelling of 110211201200112 in words is "one hundred ten trillion, two hundred eleven billion, two hundred one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 7039 14078 21117 28156 42234 56312 84468 112624 133741 168936 267482 337872 401223 534964 802446 1069928 1604892 2139856 3209784 6419568 17168009 34336018 51504027 68672036 103008054 137344072 206016108 274688144 326192171 412032216 652384342 824064432 978576513 1304768684 1957153026 2609537368 3914306052 5219074736 7828612104 15657224208 120845615351 241691230702 362536846053 483382461404 725073692106 966764922808 1450147384212 1933529845616 2296066691669 2900294768424 4592133383338 5800589536848 6888200075007 9184266766676 13776400150014 18368533533352 27552800300028 36737067066704 55105600600056 110211201200112