Search a number
-
+
112122110311232 = 267626339960493
BaseRepresentation
bin11001011111100101110110…
…100011100111101101000000
3112200222202202122111011100212
4121133211312203213231000
5104144002040214424412
61034244104132333252
732421361262531120
oct3137456643475500
9480882678434325
10112122110311232
11327a87a128716a
12106aa023a74228
134a740b9cab158
141d98a4c108c80
15ce6847a98222
hex65f9768e7b40

112122110311232 has 56 divisors (see below), whose sum is σ = 254317534966656. Its totient is φ = 48044659373568.

The previous prime is 112122110311207. The next prime is 112122110311247. The reversal of 112122110311232 is 232113011221211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 112122110311198 and 112122110311207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17174423 + ... + 22786070.

It is an arithmetic number, because the mean of its divisors is an integer number (4541384552976).

Almost surely, 2112122110311232 is an apocalyptic number.

It is an amenable number.

112122110311232 is an abundant number, since it is smaller than the sum of its proper divisors (142195424655424).

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

112122110311232 is an equidigital number, since it uses as much as digits as its factorization.

112122110311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39966775 (or 39966765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 112122110311232 its reverse (232113011221211), we get a palindrome (344235121532443).

The spelling of 112122110311232 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred ten million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 6263 12526 25052 43841 50104 87682 100208 175364 200416 350728 400832 701456 1402912 2805824 39960493 79920986 159841972 279723451 319683944 559446902 639367888 1118893804 1278735776 2237787608 2557471552 4475575216 8951150432 17902300864 250272567659 500545135318 1001090270636 1751907973613 2002180541272 3503815947226 4004361082544 7007631894452 8008722165088 14015263788904 16017444330176 28030527577808 56061055155616 112122110311232