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20117343882241 = 216166891391729
BaseRepresentation
bin1001001001011111011110…
…01000101100110000000001
32122020012101021200100120101
410210233233020230300001
510114100310013212431
6110441440304442401
74144300351405504
oct444575710546001
978205337610511
1020117343882241
116456799188611
12230aa61919401
13b2c09910a298
144d798291513b
1524d471a73961
hex124bef22cc01

20117343882241 has 8 divisors (see below), whose sum is σ = 20129676539400. Its totient is φ = 20105014026240.

The previous prime is 20117343882227. The next prime is 20117343882247. The reversal of 20117343882241 is 14228834371102.

It can be written as a sum of positive squares in 4 ways, for example, as 13594448314225 + 6522895568016 = 3687065^2 + 2553996^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20117343882241 - 237 = 19979904928769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20117343882191 and 20117343882200.

It is not an unprimeable number, because it can be changed into a prime (20117343882247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13759065 + ... + 15150793.

It is an arithmetic number, because the mean of its divisors is an integer number (2516209567425).

Almost surely, 220117343882241 is an apocalyptic number.

It is an amenable number.

20117343882241 is a deficient number, since it is larger than the sum of its proper divisors (12332657159).

20117343882241 is a wasteful number, since it uses less digits than its factorization.

20117343882241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400579.

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 20117343882241 in words is "twenty trillion, one hundred seventeen billion, three hundred forty-three million, eight hundred eighty-two thousand, two hundred forty-one".

Divisors: 1 2161 6689 1391729 14454929 3007526369 9309275281 20117343882241