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112112020000133 is a prime number
BaseRepresentation
bin11001011111011100011101…
…001000001000110110000101
3112200221210201102210020200222
4121133130131020020312011
5104143320404110001013
61034235315002114125
732420553240356366
oct3137343510106605
9480853642706628
10112112020000133
11327a449359908a
12106a80887ab945
134a7316c69027a
141d98371d97b6d
15ce6456ceb508
hex65f71d208d85

112112020000133 has 2 divisors, whose sum is σ = 112112020000134. Its totient is φ = 112112020000132.

The previous prime is 112112020000129. The next prime is 112112020000217. The reversal of 112112020000133 is 331000020211211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103452048215044 + 8659971785089 = 10171138^2 + 2942783^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112020000133 - 22 = 112112020000129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112112020002133) 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, 56056010000066 + 56056010000067.

It is an arithmetic number, because the mean of its divisors is an integer number (56056010000067).

Almost surely, 2112112020000133 is an apocalyptic number.

It is an amenable number.

112112020000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112020000133 is an equidigital number, since it uses as much as digits as its factorization.

112112020000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 112112020000133 its reverse (331000020211211), we get a palindrome (443112040211344).

The spelling of 112112020000133 in words is "one hundred twelve trillion, one hundred twelve billion, twenty million, one hundred thirty-three", and thus it is an aban number.