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2001414232241 = 61127431599413
BaseRepresentation
bin11101000111111101100…
…101011001100010110001
321002022222222222021212222
4131013331211121202301
5230242344020412431
64131234220530425
7264411624165104
oct35077545314261
97068888867788
102001414232241
11701882180466
12283a796b0a15
1311696a556b98
146cc2462873b
15370dc23457b
hex1d1fd9598b1

2001414232241 has 16 divisors (see below), whose sum is σ = 2055002185728. Its totient is φ = 1948568529600.

The previous prime is 2001414232229. The next prime is 2001414232243. The reversal of 2001414232241 is 1422324141002.

It is a cyclic number.

It is not a de Polignac number, because 2001414232241 - 26 = 2001414232177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001414232241.

It is not an unprimeable number, because it can be changed into a prime (2001414232243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3039251 + ... + 3638663.

It is an arithmetic number, because the mean of its divisors is an integer number (128437636608).

Almost surely, 22001414232241 is an apocalyptic number.

It is an amenable number.

2001414232241 is a deficient number, since it is larger than the sum of its proper divisors (53587953487).

2001414232241 is a wasteful number, since it uses less digits than its factorization.

2001414232241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600032.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2001414232241 its reverse (1422324141002), we get a palindrome (3423738373243).

The spelling of 2001414232241 in words is "two trillion, one billion, four hundred fourteen million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 61 127 431 7747 26291 54737 599413 3338957 36564193 76125451 258347003 4643652511 15759167183 32810069381 2001414232241