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112170417169 is a prime number
BaseRepresentation
bin110100001110111100…
…0001011110000010001
3101201112100102121000011
41220131320023300101
53314211111322134
6123310321154521
711050454546206
oct1503570136021
9351470377004
10112170417169
1143631304708
12198a578ba41
13a768071415
14560155dcad
152db791e264
hex1a1de0bc11

112170417169 has 2 divisors, whose sum is σ = 112170417170. Its totient is φ = 112170417168.

The previous prime is 112170417113. The next prime is 112170417181. The reversal of 112170417169 is 961714071211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66622320769 + 45548096400 = 258113^2 + 213420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112170417169 is a prime.

It is a super-2 number, since 2×1121704171692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112170417269) 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, 56085208584 + 56085208585.

It is an arithmetic number, because the mean of its divisors is an integer number (56085208585).

Almost surely, 2112170417169 is an apocalyptic number.

It is an amenable number.

112170417169 is a deficient number, since it is larger than the sum of its proper divisors (1).

112170417169 is an equidigital number, since it uses as much as digits as its factorization.

112170417169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 40.

The spelling of 112170417169 in words is "one hundred twelve billion, one hundred seventy million, four hundred seventeen thousand, one hundred sixty-nine".