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12822131 = 7171953107
BaseRepresentation
bin110000111010…
…011001110011
3220010102122202
4300322121303
511240302011
61134453415
7213662210
oct60723163
926112582
1012822131
117268503
12436426b
13286c27a
1419bab07
1511d423b
hexc3a673

12822131 has 32 divisors (see below), whose sum is σ = 16796160. Its totient is φ = 9524736.

The previous prime is 12822113. The next prime is 12822133. The reversal of 12822131 is 13122821.

It is not a de Polignac number, because 12822131 - 26 = 12822067 is a prime.

It is a super-2 number, since 2×128221312 = 328814086762322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12822133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119780 + ... + 119886.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 212822131 is an apocalyptic number.

12822131 is a deficient number, since it is larger than the sum of its proper divisors (3974029).

12822131 is a wasteful number, since it uses less digits than its factorization.

12822131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its digits is 192, while the sum is 20.

The square root of 12822131 is about 3580.8003295353. The cubic root of 12822131 is about 234.0561569265.

Adding to 12822131 its reverse (13122821), we get a palindrome (25944952).

The spelling of 12822131 in words is "twelve million, eight hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 17 19 53 107 119 133 323 371 749 901 1007 1819 2033 2261 5671 6307 7049 12733 14231 17119 34561 39697 96407 107749 119833 241927 674849 754243 1831733 12822131