Search a number
-
+
11122202212000 = 255311252777323
BaseRepresentation
bin1010000111011001011011…
…1010010111011010100000
31110101021100101200020202021
42201312112322113122200
52424211232231241000
635353245201031224
72225360352640015
oct241662672273240
943337311606667
1011122202212000
1135a8999214550
1212b7683025514
13628a85935839
142a646317370c
151444a9b6711a
hexa1d96e976a0

11122202212000 has 96 divisors (see below), whose sum is σ = 29811546483264. Its totient is φ = 4044437152000.

The previous prime is 11122202211979. The next prime is 11122202212001. The reversal of 11122202212000 is 21220222111.

It is a happy number.

11122202212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11122202212001) 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, 126344662 + ... + 126432661.

It is an arithmetic number, because the mean of its divisors is an integer number (310536942534).

Almost surely, 211122202212000 is an apocalyptic number.

11122202212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122202212000 is an abundant number, since it is smaller than the sum of its proper divisors (18689344271264).

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

11122202212000 is a wasteful number, since it uses less digits than its factorization.

11122202212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252777359 (or 252777341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11122202212000 its reverse (21220222111), we get a palindrome (11143422434111).

The spelling of 11122202212000 in words is "eleven trillion, one hundred twenty-two billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 252777323 505554646 1011109292 1263886615 2022218584 2527773230 2780550553 4044437168 5055546460 5561101106 6319433075 8088874336 10111092920 11122202212 12638866150 13902752765 20222185840 22244404424 25277732300 27805505530 31597165375 40444371680 44488808848 50555464600 55611011060 63194330750 69513763825 88977617696 101110929200 111222022120 126388661500 139027527650 202221858400 222444044240 252777323000 278055055300 347568819125 444888088480 505554646000 556110110600 695137638250 1011109292000 1112220221200 1390275276500 2224440442400 2780550553000 5561101106000 11122202212000