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11222422422211 = 7111353593585293
BaseRepresentation
bin1010001101001110110010…
…0000001000001011000011
31110201212000220200102121201
42203103230200020023003
52432332010120002321
635511302032002031
72235536042445550
oct243235440101303
943655026612551
1011222422422211
113637447986860
121312b92690317
13635367c57580
142ab24d557a27
15146dc339e291
hexa34ec8082c3

11222422422211 has 64 divisors (see below), whose sum is σ = 15612377840640. Its totient is φ = 7785533283840.

The previous prime is 11222422422199. The next prime is 11222422422247.

It is a happy number.

11222422422211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11222422422211 - 29 = 11222422421699 is a prime.

It is a super-2 number, since 2×112224224222112 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11222422422211.

It is not an unprimeable number, because it can be changed into a prime (11222422422271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1337481 + ... + 4922773.

It is an arithmetic number, because the mean of its divisors is an integer number (243943403760).

Almost surely, 211222422422211 is an apocalyptic number.

11222422422211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11222422422211 is a deficient number, since it is larger than the sum of its proper divisors (4389955418429).

11222422422211 is a wasteful number, since it uses less digits than its factorization.

11222422422211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585436.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1122242 and 2422211, that added together give a palindrome (3544453).

The spelling of 11222422422211 in words is "eleven trillion, two hundred twenty-two billion, four hundred twenty-two million, four hundred twenty-two thousand, two hundred eleven".

Divisors: 1 7 11 13 53 59 77 91 143 371 413 583 649 689 767 1001 3127 4081 4543 4823 5369 7579 8437 21889 34397 40651 53053 59059 240779 284557 447161 3130127 3585293 25097051 39438223 46608809 190020529 211532287 276067561 326261663 512696899 1330143703 1480726009 2090225819 2326855157 2470266877 2749919731 3588878293 11211211211 14631580733 16287986099 17291868139 19249438117 27172935647 30249117041 78478478477 123323323321 145745745743 190210549529 211743819287 863263263247 1020220220201 1603203203173 11222422422211