Search a number
-
+
12002212002113 is a prime number
BaseRepresentation
bin1010111010100111101110…
…0101010011100101000001
31120111101210210100110020122
42232221323211103211001
53033121012233031423
641305423504550025
72346063000510164
oct256517345234501
946441723313218
1012002212002113
113908122861823
12141a138622315
13690a5aa64188
142d6ca56a1adb
1515c31220d8c8
hexaea7b953941

12002212002113 has 2 divisors, whose sum is σ = 12002212002114. Its totient is φ = 12002212002112.

The previous prime is 12002212002073. The next prime is 12002212002119. The reversal of 12002212002113 is 31120021220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8976393499969 + 3025818502144 = 2996063^2 + 1739488^2 .

It is an emirp because it is prime and its reverse (31120021220021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002212002113 - 240 = 10902700374337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002212002091 and 12002212002100.

It is not a weakly prime, because it can be changed into another prime (12002212002119) 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, 6001106001056 + 6001106001057.

It is an arithmetic number, because the mean of its divisors is an integer number (6001106001057).

Almost surely, 212002212002113 is an apocalyptic number.

It is an amenable number.

12002212002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002212002113 is an equidigital number, since it uses as much as digits as its factorization.

12002212002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12002212002113 its reverse (31120021220021), we get a palindrome (43122233222134).

The spelling of 12002212002113 in words is "twelve trillion, two billion, two hundred twelve million, two thousand, one hundred thirteen".