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112112120077 is a prime number
BaseRepresentation
bin110100001101001100…
…1110011000100001101
3101201101021201210102121
41220122121303010031
53314101200320302
6123300435452541
711046146203636
oct1503231630415
9351337653377
10112112120077
11436014071a1
121988a157151
13a758c6c5b9
1455d790688d
152db2755e37
hex1a1a67310d

112112120077 has 2 divisors, whose sum is σ = 112112120078. Its totient is φ = 112112120076.

The previous prime is 112112120053. The next prime is 112112120089. The reversal of 112112120077 is 770021211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68090205481 + 44021914596 = 260941^2 + 209814^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112112120077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112100077) 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, 56056060038 + 56056060039.

It is an arithmetic number, because the mean of its divisors is an integer number (56056060039).

Almost surely, 2112112120077 is an apocalyptic number.

It is an amenable number.

112112120077 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112120077 is an equidigital number, since it uses as much as digits as its factorization.

112112120077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 112112120077 its reverse (770021211211), we get a palindrome (882133331288).

The spelling of 112112120077 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty thousand, seventy-seven".