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20114314241 = 722897141697
BaseRepresentation
bin10010101110111010…
…000001010000000001
31220220210122000220112
4102232322001100001
5312143231023431
613123531321105
71311310564400
oct225672012001
956823560815
1020114314241
118592007aaa
123a942b0195
131b872908b8
14d8b561637
157cacebc2b
hex4aee81401

20114314241 has 12 divisors (see below), whose sum is σ = 23406525828. Its totient is φ = 17234767872.

The previous prime is 20114314219. The next prime is 20114314249. The reversal of 20114314241 is 14241341102.

It can be written as a sum of positive squares in 2 ways, for example, as 6177331216 + 13936983025 = 78596^2 + 118055^2 .

It is not a de Polignac number, because 20114314241 - 214 = 20114297857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20114314249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71105 + ... + 212801.

It is an arithmetic number, because the mean of its divisors is an integer number (1950543819).

Almost surely, 220114314241 is an apocalyptic number.

It is an amenable number.

20114314241 is a deficient number, since it is larger than the sum of its proper divisors (3292211587).

20114314241 is a wasteful number, since it uses less digits than its factorization.

20114314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144608 (or 144601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 20114314241 its reverse (14241341102), we get a palindrome (34355655343).

The spelling of 20114314241 in words is "twenty billion, one hundred fourteen million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 7 49 2897 20279 141697 141953 991879 6943153 410496209 2873473463 20114314241