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12211321213 = 721325937393
BaseRepresentation
bin10110101111101100…
…11111100101111101
31011112000202101120001
423113312133211331
5200002044234323
65335414554301
7611415342400
oct132766374575
934460671501
1012211321213
1151a6a77403
122449668991
1311c7b83b70
1483bb09d37
154b70b43ad
hex2d7d9f97d

12211321213 has 24 divisors (see below), whose sum is σ = 15305668728. Its totient is φ = 9656672256.

The previous prime is 12211321181. The next prime is 12211321217. The reversal of 12211321213 is 31212311221.

It can be written as a sum of positive squares in 4 ways, for example, as 50083929 + 12161237284 = 7077^2 + 110278^2 .

It is not a de Polignac number, because 12211321213 - 25 = 12211321181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211321217) 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, 1648045 + ... + 1655437.

It is an arithmetic number, because the mean of its divisors is an integer number (637736197).

Almost surely, 212211321213 is an apocalyptic number.

12211321213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12211321213 is a deficient number, since it is larger than the sum of its proper divisors (3094347515).

12211321213 is a wasteful number, since it uses less digits than its factorization.

12211321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10006 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

Adding to 12211321213 its reverse (31212311221), we get a palindrome (43423632434).

The spelling of 12211321213 in words is "twelve billion, two hundred eleven million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 7 13 49 91 637 2593 7393 18151 33709 51751 96109 127057 235963 362257 672763 1651741 4709341 19170049 134190343 249210637 939332401 1744474459 12211321213