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12211000011 = 3271131715269
BaseRepresentation
bin10110101111101010…
…10001001011001011
31011112000011001221200
423113311101023023
5200002004000021
65335404035243
7611412534060
oct132765211313
934460131850
1012211000011
1151a6878051
122449532b23
1311c7aa08c2
1483ba64c67
154b704e126
hex2d7d512cb

12211000011 has 24 divisors (see below), whose sum is σ = 20336241120. Its totient is φ = 6915960576.

The previous prime is 12211000003. The next prime is 12211000027. The reversal of 12211000011 is 11000011221.

It is a happy number.

It is not a de Polignac number, because 12211000011 - 23 = 12211000003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12210999957 and 12211000002.

It is not an unprimeable number, because it can be changed into a prime (12211000051) 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, 850516 + ... + 864753.

It is an arithmetic number, because the mean of its divisors is an integer number (847343380).

Almost surely, 212211000011 is an apocalyptic number.

12211000011 is a deficient number, since it is larger than the sum of its proper divisors (8125241109).

12211000011 is a wasteful number, since it uses less digits than its factorization.

12211000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715395 (or 1715392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211000011 its reverse (11000011221), we get a palindrome (23211011232).

The spelling of 12211000011 in words is "twelve billion, two hundred eleven million, eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 7119 1715269 5145807 12006883 15437421 36020649 108061947 193825397 581476191 1356777779 1744428573 4070333337 12211000011