Search a number
-
+
22102220021112 = 23327113986691923
BaseRepresentation
bin1010000011010000100101…
…11110010001110101111000
32220020221200201022110022200
411001220102332101311320
510344110321311133422
6115001341504550200
74440555421252140
oct501502276216570
986227621273280
1022102220021112
117051553aa8710
12258b684922360
13c442cc2790aa
14565a7893b920
15284de1e222ac
hex141a12f91d78

22102220021112 has 96 divisors (see below), whose sum is σ = 74630872817280. Its totient is φ = 5740836367680.

The previous prime is 22102220021083. The next prime is 22102220021113. The reversal of 22102220021112 is 21112002220122.

It is a happy number.

22102220021112 is a `hidden beast` number, since 221 + 0 + 2 + 220 + 0 + 211 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102220021113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993340418 + ... + 1993351505.

It is an arithmetic number, because the mean of its divisors is an integer number (777404925180).

Almost surely, 222102220021112 is an apocalyptic number.

22102220021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22102220021112 is an abundant number, since it is smaller than the sum of its proper divisors (52528652796168).

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

22102220021112 is a wasteful number, since it uses less digits than its factorization.

22102220021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986691953 (or 3986691946 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102220021112 its reverse (21112002220122), we get a palindrome (43214222241234).

The spelling of 22102220021112 in words is "twenty-two trillion, one hundred two billion, two hundred twenty million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 3986691923 7973383846 11960075769 15946767692 23920151538 27906843461 31893535384 35880227307 43853611153 47840303076 55813686922 71760454614 83720530383 87707222306 95680606152 111627373844 131560833459 143520909228 167441060766 175414444612 223254747688 251161591149 263121666918 287041818456 306975278071 334882121532 350828889224 394682500377 502323182298 526243333836 613950556142 669764243064 789365000754 920925834213 1004646364596 1052486667672 1227901112284 1578730001508 1841851668426 2009292729192 2455802224568 2762777502639 3157460003016 3683703336852 5525555005278 7367406673704 11051110010556 22102220021112