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22102200111012 = 2237253859825637
BaseRepresentation
bin1010000011010000100011…
…10010010100111110100100
32220020221122022211220210120
411001220101302110332210
510344110301212023022
6115001335514121540
74440555060106200
oct501502162247644
986227568756716
1022102200111012
11705154383998a
12258b67a1202b0
13c442c80c7878
14565a76037b00
15284de02dcd5c
hex141a11c94fa4

22102200111012 has 144 divisors (see below), whose sum is σ = 61194835437120. Its totient is φ = 6188544730368.

The previous prime is 22102200111011. The next prime is 22102200111029. The reversal of 22102200111012 is 21011100220122.

It is a junction number, because it is equal to n+sod(n) for n = 22102200110982 and 22102200111000.

It is not an unprimeable number, because it can be changed into a prime (22102200111011) 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 47 ways as a sum of consecutive naturals, for example, 26357058 + ... + 27182694.

It is an arithmetic number, because the mean of its divisors is an integer number (424964134980).

Almost surely, 222102200111012 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 22102200111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30597417718560).

22102200111012 is an abundant number, since it is smaller than the sum of its proper divisors (39092635326108).

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

22102200111012 is a wasteful number, since it uses less digits than its factorization.

22102200111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826570 (or 826561 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22102200111012 its reverse (21011100220122), we get a palindrome (43113300331134).

The spelling of 22102200111012 in words is "twenty-two trillion, one hundred two billion, two hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 859 1113 1484 1718 2226 2577 2597 3436 4452 5154 5194 6013 7791 10308 10388 12026 15582 18039 24052 31164 36078 42091 45527 72156 84182 91054 126273 136581 168364 182108 252546 273162 318689 505092 546324 637378 825637 956067 1274756 1651274 1912134 2230823 2476911 3302548 3824268 4461646 4953822 5779459 6692469 8923292 9907644 11558918 13384938 17338377 23117836 26769876 34676754 40456213 43758761 69353508 80912426 87517522 121368639 131276283 161824852 175035044 242737278 262552566 306311327 485474556 525105132 612622654 709222183 918933981 1225245308 1418444366 1837867962 2127666549 2144179289 2836888732 3675735924 4255333098 4288358578 4964555281 6432537867 8510666196 8576717156 9929110562 12865075734 14893665843 19858221124 25730151468 29787331686 34751886967 37588775699 59574663372 69503773934 75177551398 104255660901 112766327097 139007547868 150355102796 208511321802 225532654194 263121429893 417022643604 451065308388 526242859786 789364289679 1052485719572 1578728579358 1841850009251 3157457158716 3683700018502 5525550027753 7367400037004 11051100055506 22102200111012