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112000000031 is a prime number
BaseRepresentation
bin110100001001110111…
…0000110000000011111
3101201002110202111122022
41220103232012000133
53313334000000111
6123241352410355
711043315202223
oct1502356060037
9351073674568
10112000000031
11435540977a7
12198586a69bb
13a73b97428a
1455c6a7c783
152da79aa2db
hex1a13b8601f

112000000031 has 2 divisors, whose sum is σ = 112000000032. Its totient is φ = 112000000030.

The previous prime is 112000000003. The next prime is 112000000067. The reversal of 112000000031 is 130000000211.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112000000031 is a prime.

It is a super-2 number, since 2×1120000000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111999999955 and 112000000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112000000631) 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, 56000000015 + 56000000016.

It is an arithmetic number, because the mean of its divisors is an integer number (56000000016).

Almost surely, 2112000000031 is an apocalyptic number.

112000000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000000031 is an equidigital number, since it uses as much as digits as its factorization.

112000000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 112000000031 its reverse (130000000211), we get a palindrome (242000000242).

The spelling of 112000000031 in words is "one hundred twelve billion, thirty-one", and thus it is an aban number.