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122782881313 is a prime number
BaseRepresentation
bin111001001011001101…
…1100001011000100001
3102201220221122121222201
41302112123201120201
54002424404200223
6132223343133201
711604450162001
oct1622633413041
9381827577881
10122782881313
1148087810034
121b9678a4201
13b7698cc7c1
145d2ab92001
1532d945cead
hex1c966e1621

122782881313 has 2 divisors, whose sum is σ = 122782881314. Its totient is φ = 122782881312.

The previous prime is 122782881283. The next prime is 122782881407. The reversal of 122782881313 is 313188287221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85434613264 + 37348268049 = 292292^2 + 193257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122782881313 is a prime.

It is not a weakly prime, because it can be changed into another prime (122782821313) 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 as a sum of consecutive naturals, namely, 61391440656 + 61391440657.

It is an arithmetic number, because the mean of its divisors is an integer number (61391440657).

Almost surely, 2122782881313 is an apocalyptic number.

It is an amenable number.

122782881313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122782881313 is an equidigital number, since it uses as much as digits as its factorization.

122782881313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 258048, while the sum is 46.

The spelling of 122782881313 in words is "one hundred twenty-two billion, seven hundred eighty-two million, eight hundred eighty-one thousand, three hundred thirteen".