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12822442321 = 1317472912269
BaseRepresentation
bin10111111000100011…
…01111000101010001
31020002121200120010011
423330101233011101
5202230021123241
65520205234521
7632515650523
oct137421570521
936077616104
1012822442321
11548aa30777
12259a262a41
1312946746a0
14898d49a13
15500a7c281
hex2fc46f151

12822442321 has 16 divisors (see below), whose sum is σ = 14625349200. Its totient is φ = 11136595968.

The previous prime is 12822442289. The next prime is 12822442337. The reversal of 12822442321 is 12324422821.

It can be written as a sum of positive squares in 8 ways, for example, as 111007296 + 12711435025 = 10536^2 + 112745^2 .

It is a cyclic number.

It is not a de Polignac number, because 12822442321 - 25 = 12822442289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12822442021) 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, 1038975 + ... + 1051243.

It is an arithmetic number, because the mean of its divisors is an integer number (914084325).

Almost surely, 212822442321 is an apocalyptic number.

It is an amenable number.

12822442321 is a deficient number, since it is larger than the sum of its proper divisors (1802906879).

12822442321 is a wasteful number, since it uses less digits than its factorization.

12822442321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17028.

The product of its digits is 12288, while the sum is 31.

The spelling of 12822442321 in words is "twelve billion, eight hundred twenty-two million, four hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 13 17 221 4729 12269 61477 80393 159497 208573 1045109 2711449 58020101 754261313 986341717 12822442321