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10324224321 = 3171132297823
BaseRepresentation
bin10011001110101111…
…10010100101000001
3222122111211221021120
421213113302211001
5132121000134241
64424243542453
7513562313235
oct114727624501
928574757246
1010324224321
1144188345a4
12200168aa29
13c86c1a398
146dd2405c5
154065a4666
hex2675f2941

10324224321 has 32 divisors (see below), whose sum is σ = 14770460160. Its totient is φ = 6391762944.

The previous prime is 10324224307. The next prime is 10324224329. The reversal of 10324224321 is 12342242301.

It is a happy number.

10324224321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10324224321 - 210 = 10324223297 is a prime.

It is a super-2 number, since 2×103242243212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10324224291 and 10324224300.

It is not an unprimeable number, because it can be changed into a prime (10324224329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315816 + ... + 1323638.

It is an arithmetic number, because the mean of its divisors is an integer number (461576880).

Almost surely, 210324224321 is an apocalyptic number.

It is an amenable number.

10324224321 is a deficient number, since it is larger than the sum of its proper divisors (4446235839).

10324224321 is a wasteful number, since it uses less digits than its factorization.

10324224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10324224321 its reverse (12342242301), we get a palindrome (22666466622).

The spelling of 10324224321 in words is "ten billion, three hundred twenty-four million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 17 51 113 229 339 687 1921 3893 5763 7823 11679 23469 25877 77631 132991 398973 439909 883999 1319727 1791467 2651997 5374401 15027983 30454939 45083949 91364817 202435771 607307313 3441408107 10324224321