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22124003121 = 34113205211
BaseRepresentation
bin10100100110101100…
…010111111100110001
32010002212012210210000
4110212230113330301
5330302221044441
614055202100213
71412152631553
oct244654277461
963085183700
1022124003121
119423472000
12435534a669
13211774b00c
1410dc41d4d3
158974752b6
hex526b17f31

22124003121 has 40 divisors (see below), whose sum is σ = 36352074528. Its totient is φ = 13408421400.

The previous prime is 22124003093. The next prime is 22124003129. The reversal of 22124003121 is 12130042122.

It is a happy number.

22124003121 is a `hidden beast` number, since 2 + 212 + 400 + 31 + 21 = 666.

It is not a de Polignac number, because 22124003121 - 27 = 22124002993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22124003094 and 22124003103.

It is not an unprimeable number, because it can be changed into a prime (22124003129) 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 39 ways as a sum of consecutive naturals, for example, 5206 + ... + 210416.

Almost surely, 222124003121 is an apocalyptic number.

It is an amenable number.

22124003121 is a deficient number, since it is larger than the sum of its proper divisors (14228071407).

22124003121 is an equidigital number, since it uses as much as digits as its factorization.

22124003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205256 (or 205225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22124003121 its reverse (12130042122), we get a palindrome (34254045243).

The spelling of 22124003121 in words is "twenty-two billion, one hundred twenty-four million, three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1331 3267 3993 9801 11979 35937 107811 205211 615633 1846899 2257321 5540697 6771963 16622091 20315889 24830531 60947667 74491593 182843001 223474779 273135841 670424337 819407523 2011273011 2458222569 7374667707 22124003121