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12822107369 is a prime number
BaseRepresentation
bin10111111000100000…
…11101010011101001
31020002121001112122112
423330100131103221
5202224424413434
65520154132105
7632513054141
oct137420352351
936077045575
1012822107369
11548a822055
12259a121035
1312945880a6
14898c9d921
15500a12dce
hex2fc41d4e9

12822107369 has 2 divisors, whose sum is σ = 12822107370. Its totient is φ = 12822107368.

The previous prime is 12822107159. The next prime is 12822107423. The reversal of 12822107369 is 96370122821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12179991769 + 642115600 = 110363^2 + 25340^2 .

It is a cyclic number.

It is not a de Polignac number, because 12822107369 - 28 = 12822107113 is a prime.

It is a super-2 number, since 2×128221073692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12822103369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6411053684 + 6411053685.

It is an arithmetic number, because the mean of its divisors is an integer number (6411053685).

Almost surely, 212822107369 is an apocalyptic number.

It is an amenable number.

12822107369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12822107369 is an equidigital number, since it uses as much as digits as its factorization.

12822107369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 12822107369 in words is "twelve billion, eight hundred twenty-two million, one hundred seven thousand, three hundred sixty-nine".