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10210233321 = 324127670009
BaseRepresentation
bin10011000001001001…
…11100101111101001
3222100120100121000200
421200210330233221
5131402304431241
64405052422413
7511006360041
oct114044745751
928316317020
1010210233321
11436a457462
121b8b477a09
13c694185a2
146cc04a721
153eb5894b6
hex26093cbe9

10210233321 has 12 divisors (see below), whose sum is σ = 15107825460. Its totient is φ = 6640801920.

The previous prime is 10210233317. The next prime is 10210233401. The reversal of 10210233321 is 12333201201.

10210233321 is a `hidden beast` number, since 102 + 10 + 233 + 321 = 666.

10210233321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 929030400 + 9281202921 = 30480^2 + 96339^2 .

It is not a de Polignac number, because 10210233321 - 22 = 10210233317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10210233294 and 10210233303.

It is not an unprimeable number, because it can be changed into a prime (10210233221) 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 11 ways as a sum of consecutive naturals, for example, 13834636 + ... + 13835373.

It is an arithmetic number, because the mean of its divisors is an integer number (1258985455).

Almost surely, 210210233321 is an apocalyptic number.

It is an amenable number.

10210233321 is a deficient number, since it is larger than the sum of its proper divisors (4897592139).

10210233321 is a wasteful number, since it uses less digits than its factorization.

10210233321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27670056 (or 27670053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10210233321 its reverse (12333201201), we get a palindrome (22543434522).

The spelling of 10210233321 in words is "ten billion, two hundred ten million, two hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 27670009 83010027 249030081 1134470369 3403411107 10210233321