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12211202211 = 3134759112913
BaseRepresentation
bin10110101111101100…
…00010100010100011
31011112000112100022120
423113312002202203
5200002031432321
65335412235323
7611414335425
oct132766024243
934460470276
1012211202211
1151a69a5a5a
12244960bb43
1311c7b41950
1483bab8815
154b708dec6
hex2d7d828a3

12211202211 has 32 divisors (see below), whose sum is σ = 18210769920. Its totient is φ = 7229981184.

The previous prime is 12211202197. The next prime is 12211202261. The reversal of 12211202211 is 11220211221.

12211202211 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 12211202211 - 27 = 12211202083 is a prime.

It is a super-2 number, since 2×122112022112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211202261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51691 + ... + 164603.

It is an arithmetic number, because the mean of its divisors is an integer number (569086560).

Almost surely, 212211202211 is an apocalyptic number.

12211202211 is a deficient number, since it is larger than the sum of its proper divisors (5999567709).

12211202211 is a wasteful number, since it uses less digits than its factorization.

12211202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113035.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12211202211 its reverse (11220211221), we get a palindrome (23431413432).

The spelling of 12211202211 in words is "twelve billion, two hundred eleven million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 13 39 47 59 141 177 611 767 1833 2301 2773 8319 36049 108147 112913 338739 1467869 4403607 5306911 6661867 15920733 19985601 68989843 86604271 206969529 259812813 313107749 939323247 4070400737 12211202211