Search a number
-
+
12102223313313 = 327329309583339
BaseRepresentation
bin1011000000011100010010…
…1110001011100110100001
31120211221221202021110112200
42300013010232023212201
53041240323132011223
641423403514243413
72356233242566020
oct260070456134641
946757852243480
1012102223313313
113946584613121
1214355aa126569
1369a308a04223
142dba720288b7
1515ec1742ea43
hexb01c4b8b9a1

12102223313313 has 24 divisors (see below), whose sum is σ = 19978368321600. Its totient is φ = 6915523323744.

The previous prime is 12102223313251. The next prime is 12102223313329. The reversal of 12102223313313 is 31331332220121.

12102223313313 is a `hidden beast` number, since 1 + 2 + 10 + 2 + 2 + 2 + 331 + 3 + 313 = 666.

It is not a de Polignac number, because 12102223313313 - 26 = 12102223313249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12102223313363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20454798 + ... + 21038136.

It is an arithmetic number, because the mean of its divisors is an integer number (832432013400).

Almost surely, 212102223313313 is an apocalyptic number.

It is an amenable number.

12102223313313 is a deficient number, since it is larger than the sum of its proper divisors (7876145008287).

12102223313313 is a wasteful number, since it uses less digits than its factorization.

12102223313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912661 (or 912658 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12102223313313 its reverse (31331332220121), we get a palindrome (43433555533434).

The spelling of 12102223313313 in words is "twelve trillion, one hundred two billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 329309 583339 987927 1750017 2305163 2963781 4083373 5250051 6915489 12250119 20746467 36750357 192098782751 576296348253 1344691479257 1728889044759 4034074437771 12102223313313