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11122100202220 = 22572101111122449
BaseRepresentation
bin1010000111011001000011…
…0101001110101011101100
31110101021002021201121122021
42201312100311032223230
52424211030122432340
635353231114355524
72225355003604300
oct241662065165354
943337067647567
1011122100202220
1135a8946680047
1212b7654a2bba4
13628a6a76a317
142a64537bbd00
151444a0c16e4a
hexa1d90d4eaec

11122100202220 has 72 divisors (see below), whose sum is σ = 27172413273600. Its totient is φ = 3812910958080.

The previous prime is 11122100202149. The next prime is 11122100202223. The reversal of 11122100202220 is 2220200122111.

It is a happy number.

11122100202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111221002022202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122100202194 and 11122100202203.

It is not an unprimeable number, because it can be changed into a prime (11122100202223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9347556 + ... + 10470004.

It is an arithmetic number, because the mean of its divisors is an integer number (377394628800).

Almost surely, 211122100202220 is an apocalyptic number.

11122100202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122100202220 is an abundant number, since it is smaller than the sum of its proper divisors (16050313071380).

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

11122100202220 is a wasteful number, since it uses less digits than its factorization.

11122100202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132583 (or 1132574 counting only the distinct ones).

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

Adding to 11122100202220 its reverse (2220200122111), we get a palindrome (13342300324331).

The spelling of 11122100202220 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10111 20222 40444 50555 70777 101110 141554 202220 283108 353885 495439 707770 990878 1122449 1415540 1981756 2244898 2477195 4489796 4954390 5612245 7857143 9908780 11224490 15714286 22448980 31428572 39285715 55000001 78571430 110000002 157142860 220000004 275000005 550000010 1100000020 11349081839 22698163678 45396327356 56745409195 79443572873 113490818390 158887145746 226981636780 317774291492 397217864365 556105010111 794435728730 1112210020222 1588871457460 2224420040444 2780525050555 5561050101110 11122100202220