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22311122112 = 26345777459
BaseRepresentation
bin10100110001110110…
…001011010011000000
32010120220022102210000
4110301312023103000
5331143121401422
614125524440000
71416614260146
oct246166132300
963526272700
1022311122112
11950a0572a4
1243a7b49000
132147445306
14111920b596
158a8ad7cac
hex531d8b4c0

22311122112 has 140 divisors (see below), whose sum is σ = 66260659960. Its totient is φ = 7423156224.

The previous prime is 22311122083. The next prime is 22311122143. The reversal of 22311122112 is 21122111322.

It is a super-3 number, since 3×223111221123 (a number of 32 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2987439 + ... + 2994897.

Almost surely, 222311122112 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 22311122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33130329980).

22311122112 is an abundant number, since it is smaller than the sum of its proper divisors (43949537848).

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

22311122112 is an equidigital number, since it uses as much as digits as its factorization.

22311122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060 (or 8041 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22311122112 its reverse (21122111322), we get a palindrome (43433233434).

The spelling of 22311122112 in words is "twenty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 577 648 864 1154 1296 1728 1731 2308 2592 3462 4616 5184 5193 6924 7459 9232 10386 13848 14918 15579 18464 20772 22377 27696 29836 31158 36928 41544 44754 46737 55392 59672 62316 67131 83088 89508 93474 110784 119344 124632 134262 166176 179016 186948 201393 238688 249264 268524 332352 358032 373896 402786 477376 498528 537048 604179 716064 747792 805572 997056 1074096 1208358 1432128 1495584 1611144 2148192 2416716 2991168 3222288 4296384 4303843 4833432 6444576 8607686 9666864 12889152 12911529 17215372 19333728 25823058 34430744 38667456 38734587 51646116 68861488 77469174 103292232 116203761 137722976 154938348 206584464 232407522 275445952 309876696 348611283 413168928 464815044 619753392 697222566 826337856 929630088 1239506784 1394445132 1859260176 2479013568 2788890264 3718520352 5577780528 7437040704 11155561056 22311122112