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22221321122 = 27112134124611
BaseRepresentation
bin10100101100011111…
…100111001110100010
32010100122100001222102
4110230133213032202
5331002124233442
614113000010402
71414444053530
oct245437471642
963318301872
1022221321122
1194733a1500
124381a60a02
132131962b30
14110b313150
158a0c9a232
hex52c7e73a2

22221321122 has 96 divisors (see below), whose sum is σ = 46194164352. Its totient is φ = 7796448000.

The previous prime is 22221321119. The next prime is 22221321151. The reversal of 22221321122 is 22112312222.

It is a super-2 number, since 2×222213211222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22221321094 and 22221321103.

It is an unprimeable number.

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, 890597 + ... + 915207.

It is an arithmetic number, because the mean of its divisors is an integer number (481189212).

Almost surely, 222221321122 is an apocalyptic number.

22221321122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22221321122 is an abundant number, since it is smaller than the sum of its proper divisors (23972843230).

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

22221321122 is a wasteful number, since it uses less digits than its factorization.

22221321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24696 (or 24685 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

Adding to 22221321122 its reverse (22112312222), we get a palindrome (44333633344).

It can be divided in two parts, 22221 and 321122, that added together give a palindrome (343343).

The spelling of 22221321122 in words is "twenty-two billion, two hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 121 143 154 182 242 286 287 451 533 574 847 902 1001 1066 1573 1694 2002 3146 3157 3731 4961 5863 6314 7462 9922 11011 11726 22022 24611 34727 41041 49222 64493 69454 82082 128986 172277 270721 319943 344554 451451 541442 639886 902902 1009051 1895047 2018102 2239601 2977931 3519373 3790094 4479202 5955862 7038746 7063357 11099561 13117663 14126714 20845517 22199122 24635611 26235326 38713103 41691034 49271222 77426206 77696927 91823641 122095171 144294293 155393854 183647282 244190342 270991721 288588586 541983442 854666197 1010060051 1587237223 1709332394 2020120102 3174474446 11110660561 22221321122