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23302101321 = 326142444629
BaseRepresentation
bin10101101100111010…
…011101100101001001
32020010222000101200200
4111230322131211021
5340210314220241
614412124522413
71453306410312
oct255472354511
966128011620
1023302101321
119978479684
1246239b0409
132274844545
1411b0a8b609
15915ad64b6
hex56ce9d949

23302101321 has 12 divisors (see below), whose sum is σ = 34210371780. Its totient is φ = 15280066080.

The previous prime is 23302101311. The next prime is 23302101337. The reversal of 23302101321 is 12310120332.

23302101321 is a `hidden beast` number, since 2 + 330 + 2 + 10 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 381655296 + 22920446025 = 19536^2 + 151395^2 .

It is not a de Polignac number, because 23302101321 - 217 = 23301970249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23302101294 and 23302101303.

It is not an unprimeable number, because it can be changed into a prime (23302101311) 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 11 ways as a sum of consecutive naturals, for example, 21221766 + ... + 21222863.

It is an arithmetic number, because the mean of its divisors is an integer number (2850864315).

Almost surely, 223302101321 is an apocalyptic number.

It is an amenable number.

23302101321 is a deficient number, since it is larger than the sum of its proper divisors (10908270459).

23302101321 is a wasteful number, since it uses less digits than its factorization.

23302101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42444696 (or 42444693 counting only the distinct ones).

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

Adding to 23302101321 its reverse (12310120332), we get a palindrome (35612221653).

The spelling of 23302101321 in words is "twenty-three billion, three hundred two million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 61 183 549 42444629 127333887 382001661 2589122369 7767367107 23302101321