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112122011117 is a prime number
BaseRepresentation
bin110100001101011111…
…1100001110111101101
3101201101222100022101102
41220122333201313231
53314111213323432
6123301431452445
711046326240534
oct1503277416755
9351358308342
10112122011117
1143606a52506
1219891527125
13a75b02369c
1455d8d5d31b
152db355b962
hex1a1afe1ded

112122011117 has 2 divisors, whose sum is σ = 112122011118. Its totient is φ = 112122011116.

The previous prime is 112122011083. The next prime is 112122011143. The reversal of 112122011117 is 711110221211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110562235081 + 1559776036 = 332509^2 + 39494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112122011117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112122041117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061005558 + 56061005559.

It is an arithmetic number, because the mean of its divisors is an integer number (56061005559).

Almost surely, 2112122011117 is an apocalyptic number.

It is an amenable number.

112122011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122011117 is an equidigital number, since it uses as much as digits as its factorization.

112122011117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 112122011117 its reverse (711110221211), we get a palindrome (823232232328).

The spelling of 112122011117 in words is "one hundred twelve billion, one hundred twenty-two million, eleven thousand, one hundred seventeen".