Search a number
-
+
12001311224113 is a prime number
BaseRepresentation
bin1010111010100100010111…
…1001000111000100110001
31120111022111000101012010111
42232221011321013010301
53033112141133132423
641305154250101321
72346031452151231
oct256510571070461
946438430335114
1012001311224113
1139078003489a2
121419b26a1a841
13690946257643
142d6c1bbc1cc1
1515c2ad0cb60d
hexaea45e47131

12001311224113 has 2 divisors, whose sum is σ = 12001311224114. Its totient is φ = 12001311224112.

The previous prime is 12001311224099. The next prime is 12001311224143. The reversal of 12001311224113 is 31142211310021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7549789345344 + 4451521878769 = 2747688^2 + 2109863^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001311224113 - 213 = 12001311215921 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001311224143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000655612056 + 6000655612057.

It is an arithmetic number, because the mean of its divisors is an integer number (6000655612057).

Almost surely, 212001311224113 is an apocalyptic number.

It is an amenable number.

12001311224113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001311224113 is an equidigital number, since it uses as much as digits as its factorization.

12001311224113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12001311224113 its reverse (31142211310021), we get a palindrome (43143522534134).

The spelling of 12001311224113 in words is "twelve trillion, one billion, three hundred eleven million, two hundred twenty-four thousand, one hundred thirteen".