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11222200002020 = 2257832011348017
BaseRepresentation
bin1010001101001101111100…
…1111101010010111100100
31110201211110102011022110212
42203103133033222113210
52432331031200031040
635511224004434552
72235530402062310
oct243233717522744
943654412138425
1011222200002020
113637343380217
121312b300a8a58
13635330b503a7
142ab22bbbab40
15146dadab6d65
hexa34df3ea5e4

11222200002020 has 96 divisors (see below), whose sum is σ = 27259700283648. Its totient is φ = 3800986509312.

The previous prime is 11222200002019. The next prime is 11222200002029. The reversal of 11222200002020 is 2020000222211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11222200001986 and 11222200002004.

It is not an unprimeable number, because it can be changed into a prime (11222200002029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233689052 + ... + 233737068.

It is an arithmetic number, because the mean of its divisors is an integer number (283955211288).

Almost surely, 211222200002020 is an apocalyptic number.

11222200002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222200002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629850141824).

11222200002020 is an abundant number, since it is smaller than the sum of its proper divisors (16037500281628).

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

11222200002020 is a wasteful number, since it uses less digits than its factorization.

11222200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68229 (or 68227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11222200002020 its reverse (2020000222211), we get a palindrome (13242200224231).

The spelling of 11222200002020 in words is "eleven trillion, two hundred twenty-two billion, two hundred million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 20113 40226 48017 80452 96034 100565 140791 192068 201130 240085 281582 336119 402260 480170 563164 672238 703955 960340 1344476 1407910 1669379 1680595 2815820 3338758 3361190 3985411 6677516 6722380 7970822 8346895 11685653 15941644 16693790 19927055 23371306 27897877 33387580 39854110 46742612 55795754 58428265 79708220 111591508 116856530 139489385 233713060 278978770 557957540 965765921 1931531842 3863063684 4828829605 6760361447 9657659210 13520722894 19315318420 27041445788 33801807235 67603614470 80158571443 135207228940 160317142886 320634285772 400792857215 561110000101 801585714430 1122220000202 1603171428860 2244440000404 2805550000505 5611100001010 11222200002020