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23130334409 = 721385342569
BaseRepresentation
bin10101100010101011…
…001110010011001001
32012200222210201210012
4111202223032103021
5334332331200114
614343111201305
71446122412200
oct254253162311
965628721705
1023130334409
11989a51a656
124596376235
132248093c10
141195d38237
159059a763e
hex562ace4c9

23130334409 has 24 divisors (see below), whose sum is σ = 29011114440. Its totient is φ = 18279039744.

The previous prime is 23130334393. The next prime is 23130334417. The reversal of 23130334409 is 90443303132.

It can be written as a sum of positive squares in 4 ways, for example, as 258309184 + 22872025225 = 16072^2 + 151235^2 .

It is not a de Polignac number, because 23130334409 - 24 = 23130334393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23130336409) 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 23 ways as a sum of consecutive naturals, for example, 522077 + ... + 564645.

It is an arithmetic number, because the mean of its divisors is an integer number (1208796435).

Almost surely, 223130334409 is an apocalyptic number.

It is an amenable number.

23130334409 is a deficient number, since it is larger than the sum of its proper divisors (5880780031).

23130334409 is a wasteful number, since it uses less digits than its factorization.

23130334409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43449 (or 43442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 23130334409 in words is "twenty-three billion, one hundred thirty million, three hundred thirty-four thousand, four hundred nine".

Divisors: 1 7 13 49 91 637 853 5971 11089 41797 42569 77623 297983 543361 553397 2085881 3873779 27116453 36311357 254179499 472047641 1779256493 3304333487 23130334409