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22111313112 = 23327243145753
BaseRepresentation
bin10100100101111011…
…111101110011011000
32010001222100002100200
4110211323331303120
5330240444004422
614054030102200
71411640026500
oct244573756330
963058302320
1022111313112
119417294899
12435104a960
132114c26c35
1410da878a00
158962ba2ac
hex525efdcd8

22111313112 has 144 divisors (see below), whose sum is σ = 71282451240. Its totient is φ = 6170556672.

The previous prime is 22111313101. The next prime is 22111313113. The reversal of 22111313112 is 21131311122.

22111313112 is a `hidden beast` number, since 221 + 1 + 131 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111313113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78828 + ... + 224580.

Almost surely, 222111313112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35641225620).

22111313112 is an abundant number, since it is smaller than the sum of its proper divisors (49171138128).

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

22111313112 is a wasteful number, since it uses less digits than its factorization.

22111313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145822 (or 145808 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 22111313112 its reverse (21131311122), we get a palindrome (43242624234).

The spelling of 22111313112 in words is "twenty-two billion, one hundred eleven million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 774 882 903 1032 1176 1204 1548 1764 1806 2107 2408 2709 3096 3528 3612 4214 5418 6321 7224 8428 10836 12642 16856 18963 21672 25284 37926 50568 75852 145753 151704 291506 437259 583012 874518 1020271 1166024 1311777 1749036 2040542 2623554 3060813 3498072 4081084 5247108 6121626 6267379 7141897 8162168 9182439 10494216 12243252 12534758 14283794 18364878 18802137 21425691 24486504 25069516 28567588 36729756 37604274 42851382 43871653 50139032 56406411 57135176 64277073 73459512 75208548 85702764 87743306 112812822 128554146 131614959 150417096 171405528 175486612 225625644 257108292 263229918 307101571 350973224 394844877 451251288 514216584 526459836 614203142 789689754 921304713 1052919672 1228406284 1579379508 1842609426 2456812568 2763914139 3158759016 3685218852 5527828278 7370437704 11055656556 22111313112