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12311000221 = 1329121326921
BaseRepresentation
bin10110111011100101…
…01111010010011101
31011202222022121110011
423131302233102131
5200203104001341
65353335243221
7614035526632
oct133562572235
934688277404
1012311000221
115248269753
122476b19511
131212714520
1484b056189
154c0c03b81
hex2ddcaf49d

12311000221 has 16 divisors (see below), whose sum is σ = 13726989360. Its totient is φ = 10962685440.

The previous prime is 12311000213. The next prime is 12311000227. The reversal of 12311000221 is 12200011321.

It can be written as a sum of positive squares in 8 ways, for example, as 153512100 + 12157488121 = 12390^2 + 110261^2 .

It is a cyclic number.

It is not a de Polignac number, because 12311000221 - 23 = 12311000213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311000227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443841 + ... + 470761.

It is an arithmetic number, because the mean of its divisors is an integer number (857936835).

Almost surely, 212311000221 is an apocalyptic number.

It is an amenable number.

12311000221 is a deficient number, since it is larger than the sum of its proper divisors (1415989139).

12311000221 is a wasteful number, since it uses less digits than its factorization.

12311000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28176.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12311000221 its reverse (12200011321), we get a palindrome (24511011542).

The spelling of 12311000221 in words is "twelve billion, three hundred eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 29 377 1213 15769 26921 35177 349973 457301 780709 10149217 32655173 424517249 947000017 12311000221