Search a number
-
+
33121304115041 is a prime number
BaseRepresentation
bin1111000011111101001111…
…00100001111011101100001
311100021100212122001112221202
413201332213210033131201
513320124412323140131
6154235414514530545
76655635535535342
oct741764744173541
9140240778045852
1033121304115041
11a60a73677a87a
12386b169896a55
1315634303a24cc
1482711889c0c9
153c6863c27bcb
hex1e1fa790f761

33121304115041 has 2 divisors, whose sum is σ = 33121304115042. Its totient is φ = 33121304115040.

The previous prime is 33121304114989. The next prime is 33121304115077. The reversal of 33121304115041 is 14051140312133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20775364000000 + 12345940115041 = 4558000^2 + 3513679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33121304115041 is a prime.

It is a super-3 number, since 3×331213041150413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33121304114995 and 33121304115013.

It is not a weakly prime, because it can be changed into another prime (33121304115941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560652057520 + 16560652057521.

It is an arithmetic number, because the mean of its divisors is an integer number (16560652057521).

Almost surely, 233121304115041 is an apocalyptic number.

It is an amenable number.

33121304115041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33121304115041 is an equidigital number, since it uses as much as digits as its factorization.

33121304115041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 33121304115041 its reverse (14051140312133), we get a palindrome (47172444427174).

The spelling of 33121304115041 in words is "thirty-three trillion, one hundred twenty-one billion, three hundred four million, one hundred fifteen thousand, forty-one".