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12283633129 is a prime number
BaseRepresentation
bin10110111000010100…
…10101110111101001
31011201001211012212011
423130022111313221
5200124102230004
65350520515521
7613254105325
oct133412256751
934631735764
1012283633129
115233877419
12246991bba1
131209b51a91
14847570985
154bd5ea004
hex2dc295de9

12283633129 has 2 divisors, whose sum is σ = 12283633130. Its totient is φ = 12283633128.

The previous prime is 12283633127. The next prime is 12283633177. The reversal of 12283633129 is 92133638221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6903117225 + 5380515904 = 83085^2 + 73352^2 .

It is a cyclic number.

It is not a de Polignac number, because 12283633129 - 21 = 12283633127 is a prime.

Together with 12283633127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12283633091 and 12283633100.

It is not a weakly prime, because it can be changed into another prime (12283633127) 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 as a sum of consecutive naturals, namely, 6141816564 + 6141816565.

It is an arithmetic number, because the mean of its divisors is an integer number (6141816565).

Almost surely, 212283633129 is an apocalyptic number.

It is an amenable number.

12283633129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12283633129 is an equidigital number, since it uses as much as digits as its factorization.

12283633129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 40.

The spelling of 12283633129 in words is "twelve billion, two hundred eighty-three million, six hundred thirty-three thousand, one hundred twenty-nine".