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12330222133311 = 3228337791281047
BaseRepresentation
bin1011001101101101101010…
…0000101010000000111111
31121122202110101021120112100
42303123122200222000333
53104004243331231221
642120231552240143
72411554253563605
oct263333240520077
947582411246470
1012330222133311
113a24243a45185
12147181a540053
136b5972919cc4
14308b0086d875
15165b0d985926
hexb36da82a03f

12330222133311 has 24 divisors (see below), whose sum is σ = 17877998436480. Its totient is φ = 8188927705296.

The previous prime is 12330222133297. The next prime is 12330222133379. The reversal of 12330222133311 is 11333122203321.

12330222133311 is a `hidden beast` number, since 1 + 2 + 3 + 302 + 2 + 21 + 3 + 331 + 1 = 666.

12330222133311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12330222133311 - 215 = 12330222100543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330222132311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8984590 + ... + 10265636.

It is an arithmetic number, because the mean of its divisors is an integer number (744916601520).

Almost surely, 212330222133311 is an apocalyptic number.

12330222133311 is a deficient number, since it is larger than the sum of its proper divisors (5547776303169).

12330222133311 is a wasteful number, since it uses less digits than its factorization.

12330222133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285115 (or 1285112 counting only the distinct ones).

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

Adding to 12330222133311 its reverse (11333122203321), we get a palindrome (23663344336632).

The spelling of 12330222133311 in words is "twelve trillion, three hundred thirty billion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 283 849 2547 3779 11337 34011 1069457 1281047 3208371 3843141 9625113 11529423 362536301 1087608903 3262826709 4841076613 14523229839 43569689517 1370024681479 4110074044437 12330222133311