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112012000033 is a prime number
BaseRepresentation
bin110100001010001101…
…1110111101100100001
3101201010022100011112211
41220110123313230201
53313400033000113
6123242501522121
711043522201523
oct1502433675441
9351108304484
10112012000033
114355a94355a
1219860713341
13a7412b627b
1455c84c3a13
152da8a7ab3d
hex1a146f7b21

112012000033 has 2 divisors, whose sum is σ = 112012000034. Its totient is φ = 112012000032.

The previous prime is 112011999997. The next prime is 112012000081. The reversal of 112012000033 is 330000210211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110085931264 + 1926068769 = 331792^2 + 43887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112012000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112011999977 and 112012000022.

It is not a weakly prime, because it can be changed into another prime (112012007033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56006000016 + 56006000017.

It is an arithmetic number, because the mean of its divisors is an integer number (56006000017).

Almost surely, 2112012000033 is an apocalyptic number.

It is an amenable number.

112012000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

112012000033 is an equidigital number, since it uses as much as digits as its factorization.

112012000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 112012000033 its reverse (330000210211), we get a palindrome (442012210244).

The spelling of 112012000033 in words is "one hundred twelve billion, twelve million, thirty-three", and thus it is an aban number.