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2004215121 = 321131970713
BaseRepresentation
bin111011101110101…
…1110010101010001
312011200021200021200
41313131132111101
513101034340441
6530513141413
7100444355526
oct16735362521
95150250250
102004215121
11939366537
1247b25a869
1325c2c1b0c
1415027514d
15bae467b6
hex7775e551

2004215121 has 12 divisors (see below), whose sum is σ = 2920598148. Its totient is φ = 1324318464.

The previous prime is 2004215117. The next prime is 2004215137. The reversal of 2004215121 is 1215124002.

It can be written as a sum of positive squares in 2 ways, for example, as 1066936896 + 937278225 = 32664^2 + 30615^2 .

It is not a de Polignac number, because 2004215121 - 22 = 2004215117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2004215094 and 2004215103.

It is not an unprimeable number, because it can be changed into a prime (2004215141) 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, 984340 + ... + 986373.

It is an arithmetic number, because the mean of its divisors is an integer number (243383179).

Almost surely, 22004215121 is an apocalyptic number.

It is an amenable number.

2004215121 is a deficient number, since it is larger than the sum of its proper divisors (916383027).

2004215121 is a wasteful number, since it uses less digits than its factorization.

2004215121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970832 (or 1970829 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2004215121 is about 44768.4612310944. The cubic root of 2004215121 is about 1260.8055487533.

Adding to 2004215121 its reverse (1215124002), we get a palindrome (3219339123).

The spelling of 2004215121 in words is "two billion, four million, two hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 3 9 113 339 1017 1970713 5912139 17736417 222690569 668071707 2004215121