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11223342234 = 23313176911361
BaseRepresentation
bin10100111001111011…
…01001110010011010
31001222011200212012000
422130331221302122
5140441133422414
65053403101430
7545060556246
oct123475516232
931864625160
1011223342234
11483a314155
122212811876
13109b295410
1478680b426
1545a4a9b09
hex29cf69c9a

11223342234 has 128 divisors (see below), whose sum is σ = 28501320960. Its totient is φ = 3243110400.

The previous prime is 11223342233. The next prime is 11223342271. The reversal of 11223342234 is 43224332211.

11223342234 is a `hidden beast` number, since 1 + 1 + 2 + 233 + 422 + 3 + 4 = 666.

It is a super-2 number, since 2×112233422342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11223342198 and 11223342207.

It is not an unprimeable number, because it can be changed into a prime (11223342233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8245714 + ... + 8247074.

It is an arithmetic number, because the mean of its divisors is an integer number (222666570).

Almost surely, 211223342234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223342234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250660480).

11223342234 is an abundant number, since it is smaller than the sum of its proper divisors (17277978726).

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

11223342234 is a wasteful number, since it uses less digits than its factorization.

11223342234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 11223342234 its reverse (43224332211), we get a palindrome (54447674445).

The spelling of 11223342234 in words is "eleven billion, two hundred twenty-three million, three hundred forty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 691 702 918 1326 1361 1382 1989 2073 2722 3978 4083 4146 5967 6219 8166 8983 11747 11934 12249 12438 17693 17966 18657 23137 23494 24498 26949 35241 35386 36747 37314 46274 53079 53898 69411 70482 73494 80847 105723 106158 138822 152711 159237 161694 208233 211446 242541 300781 305422 317169 318474 416466 458133 477711 485082 601562 624699 634338 902343 916266 940451 955422 1249398 1374399 1804686 1880902 2707029 2748798 2821353 4123197 5414058 5642706 8121087 8246394 8464059 12225863 15987667 16242174 16928118 24451726 25392177 31975334 36677589 47963001 50784354 73355178 95926002 110032767 143889003 207839671 220065534 287778006 330098301 415679342 431667009 623519013 660196602 863334018 1247038026 1870557039 3741114078 5611671117 11223342234