Search a number
-
+
12212103321 = 331141118193
BaseRepresentation
bin10110101111110010…
…11110100010011001
31011112002020010102000
423113321132202121
5200002244301241
65335443431213
7611425110525
oct132771364231
934462203360
1012212103321
1151a7460a80
122449985509
1311c8098b52
1483bc70d85
154b71baeb6
hex2d7e5e899

12212103321 has 16 divisors (see below), whose sum is σ = 19736733120. Its totient is φ = 7401274560.

The previous prime is 12212103313. The next prime is 12212103331. The reversal of 12212103321 is 12330121221.

12212103321 is a `hidden beast` number, since 122 + 1 + 210 + 332 + 1 = 666.

It is not a de Polignac number, because 12212103321 - 23 = 12212103313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212103294 and 12212103303.

It is not an unprimeable number, because it can be changed into a prime (12212103311) 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, 20558800 + ... + 20559393.

It is an arithmetic number, because the mean of its divisors is an integer number (1233545820).

Almost surely, 212212103321 is an apocalyptic number.

12212103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212103321 is a deficient number, since it is larger than the sum of its proper divisors (7524629799).

12212103321 is a wasteful number, since it uses less digits than its factorization.

12212103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41118213 (or 41118207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212103321 its reverse (12330121221), we get a palindrome (24542224542).

The spelling of 12212103321 in words is "twelve billion, two hundred twelve million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 41118193 123354579 370063737 452300123 1110191211 1356900369 4070701107 12212103321