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1023321242241 = 32233694865521
BaseRepresentation
bin11101110010000101011…
…00101111101010000001
310121211101000110021120200
432321002230233222001
5113231230214222431
62102035101355413
7133634566016634
oct16710254575201
93554330407520
101023321242241
11364a96188411
121463b0268b69
1375663a8246c
1437759877c1b
151b943d7dee6
hexee42b2fa81

1023321242241 has 12 divisors (see below), whose sum is σ = 1478194238820. Its totient is φ = 682184828160.

The previous prime is 1023321242239. The next prime is 1023321242291. The reversal of 1023321242241 is 1422421233201.

1023321242241 is a `hidden beast` number, since 1 + 0 + 23 + 3 + 212 + 422 + 4 + 1 = 666.

1023321242241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 295396598016 + 727924644225 = 543504^2 + 853185^2 .

It is not a de Polignac number, because 1023321242241 - 21 = 1023321242239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023321242291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2222440 + ... + 2643081.

It is an arithmetic number, because the mean of its divisors is an integer number (123182853235).

Almost surely, 21023321242241 is an apocalyptic number.

It is an amenable number.

1023321242241 is a deficient number, since it is larger than the sum of its proper divisors (454872996579).

1023321242241 is a wasteful number, since it uses less digits than its factorization.

1023321242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888896 (or 4888893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1023321242241 its reverse (1422421233201), we get a palindrome (2445742475442).

The spelling of 1023321242241 in words is "one trillion, twenty-three billion, three hundred twenty-one million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 23369 70107 210321 4865521 14596563 43789689 113702360249 341107080747 1023321242241