Search a number
-
+
12946311035033 is a prime number
BaseRepresentation
bin1011110001100100110001…
…0001010011100010011001
31200211122200200020112001112
42330121030101103202121
53144103021111110113
643311241515430105
72504224441051625
oct274311421234231
950748620215045
1012946311035033
114141555084772
1215510b9455335
1372baa78897ac
1432a8677c8185
15176b6b00a5a8
hexbc64c453899

12946311035033 has 2 divisors, whose sum is σ = 12946311035034. Its totient is φ = 12946311035032.

The previous prime is 12946311034973. The next prime is 12946311035059. The reversal of 12946311035033 is 33053011364921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9830902472329 + 3115408562704 = 3135427^2 + 1765052^2 .

It is an emirp because it is prime and its reverse (33053011364921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12946311035033 - 210 = 12946311034009 is a prime.

It is a super-2 number, since 2×129463110350332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12946311835033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6473155517516 + 6473155517517.

It is an arithmetic number, because the mean of its divisors is an integer number (6473155517517).

Almost surely, 212946311035033 is an apocalyptic number.

It is an amenable number.

12946311035033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12946311035033 is an equidigital number, since it uses as much as digits as its factorization.

12946311035033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174960, while the sum is 41.

Adding to 12946311035033 its reverse (33053011364921), we get a palindrome (45999322399954).

The spelling of 12946311035033 in words is "twelve trillion, nine hundred forty-six billion, three hundred eleven million, thirty-five thousand, thirty-three".