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12036836033 is a prime number
BaseRepresentation
bin10110011010111001…
…11000101011000001
31011001212102121212222
423031130320223001
5144122412223113
65310223100425
7604166263265
oct131534705301
934055377788
1012036836033
115117531082
1223bb141715
13119a9911b1
1482288a0a5
154a6ae9e08
hex2cd738ac1

12036836033 has 2 divisors, whose sum is σ = 12036836034. Its totient is φ = 12036836032.

The previous prime is 12036836011. The next prime is 12036836039. The reversal of 12036836033 is 33063863021.

12036836033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11818298944 + 218537089 = 108712^2 + 14783^2 .

It is a cyclic number.

It is not a de Polignac number, because 12036836033 - 210 = 12036835009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12036835984 and 12036836002.

It is not a weakly prime, because it can be changed into another prime (12036836039) 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, 6018418016 + 6018418017.

It is an arithmetic number, because the mean of its divisors is an integer number (6018418017).

Almost surely, 212036836033 is an apocalyptic number.

It is an amenable number.

12036836033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12036836033 is an equidigital number, since it uses as much as digits as its factorization.

12036836033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 12036836033 in words is "twelve billion, thirty-six million, eight hundred thirty-six thousand, thirty-three".