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12082073231 is a prime number
BaseRepresentation
bin10110100000010010…
…11100111010001111
31011012000112220122202
423100021130322033
5144221002320411
65314520432115
7605255633204
oct132011347217
934160486582
1012082073231
115140019498
12241231863b
1311a716c777
148288a3cab
154aaa8383b
hex2d025ce8f

12082073231 has 2 divisors, whose sum is σ = 12082073232. Its totient is φ = 12082073230.

The previous prime is 12082073209. The next prime is 12082073239. The reversal of 12082073231 is 13237028021.

12082073231 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12082073231 is a prime.

It is a super-2 number, since 2×120820732312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 12082073194 and 12082073203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12082073239) 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, 6041036615 + 6041036616.

It is an arithmetic number, because the mean of its divisors is an integer number (6041036616).

Almost surely, 212082073231 is an apocalyptic number.

12082073231 is a deficient number, since it is larger than the sum of its proper divisors (1).

12082073231 is an equidigital number, since it uses as much as digits as its factorization.

12082073231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12082073231 in words is "twelve billion, eighty-two million, seventy-three thousand, two hundred thirty-one".