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23121009 = 3231791049
BaseRepresentation
bin101100000110…
…0110001110001
31121111200001200
41120030301301
521404333014
62143321413
7400345122
oct130146161
947450050
1023121009
111206217a
1278b0269
134a36b92
1430dc049
15206aa09
hex160cc71

23121009 has 24 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 14713920.

The previous prime is 23120989. The next prime is 23121011. The reversal of 23121009 is 90012132.

It is a happy number.

It is not a de Polignac number, because 23121009 - 211 = 23118961 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23120982 and 23121000.

It is not an unprimeable number, because it can be changed into a prime (23121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21517 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 223121009 is an apocalyptic number.

It is an amenable number.

23121009 is a deficient number, since it is larger than the sum of its proper divisors (11822991).

23121009 is a wasteful number, since it uses less digits than its factorization.

23121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 23121009 is about 4808.4310330918. The cubic root of 23121009 is about 284.8845700604.

It can be divided in two parts, 2312 and 1009, that added together give a triangular number (3321 = T81).

The spelling of 23121009 in words is "twenty-three million, one hundred twenty-one thousand, nine".

Divisors: 1 3 9 31 79 93 237 279 711 1049 2449 3147 7347 9441 22041 32519 82871 97557 248613 292671 745839 2569001 7707003 23121009