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12132010117 is a prime number
BaseRepresentation
bin10110100110001111…
…11100100010000101
31011022111111222012001
423103013330202011
5144321243310432
65323503025301
7606433245613
oct132307744205
934274458161
1012132010117
115166226847
122426b9b231
1311b4605216
148313826b3
154b01499e7
hex2d31fc885

12132010117 has 2 divisors, whose sum is σ = 12132010118. Its totient is φ = 12132010116.

The previous prime is 12132010097. The next prime is 12132010139. The reversal of 12132010117 is 71101023121.

12132010117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10073936161 + 2058073956 = 100369^2 + 45366^2 .

It is a cyclic number.

It is not a de Polignac number, because 12132010117 - 219 = 12131485829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132010094 and 12132010103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12132010157) 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, 6066005058 + 6066005059.

It is an arithmetic number, because the mean of its divisors is an integer number (6066005059).

Almost surely, 212132010117 is an apocalyptic number.

It is an amenable number.

12132010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12132010117 is an equidigital number, since it uses as much as digits as its factorization.

12132010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 12132010117 its reverse (71101023121), we get a palindrome (83233033238).

The spelling of 12132010117 in words is "twelve billion, one hundred thirty-two million, ten thousand, one hundred seventeen".