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12205100041 = 27782753279
BaseRepresentation
bin10110101110111101…
…10000110000001001
31011111121001022201021
423113132300300021
5144444001200131
65335033352441
7611311432021
oct132736606011
934447038637
1012205100041
1151a3508342
122447568721
1311c67b62b4
1483ad6aa81
154b6785e11
hex2d77b0c09

12205100041 has 8 divisors (see below), whose sum is σ = 12264203520. Its totient is φ = 12146105328.

The previous prime is 12205100021. The next prime is 12205100057. The reversal of 12205100041 is 14000150221.

12205100041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12205100041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12205099988 and 12205100024.

It is not an unprimeable number, because it can be changed into a prime (12205100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202440 + ... + 255718.

It is an arithmetic number, because the mean of its divisors is an integer number (1533025440).

Almost surely, 212205100041 is an apocalyptic number.

It is an amenable number.

12205100041 is a deficient number, since it is larger than the sum of its proper divisors (59103479).

12205100041 is an equidigital number, since it uses as much as digits as its factorization.

12205100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54383.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12205100041 its reverse (14000150221), we get a palindrome (26205250262).

The spelling of 12205100041 in words is "twelve billion, two hundred five million, one hundred thousand, forty-one".

Divisors: 1 277 827 53279 229079 14758283 44061733 12205100041