Search a number
-
+
33201113231201 is a prime number
BaseRepresentation
bin1111000110010001111001…
…00011110110111101100001
311100112222212122222201112212
413203020330203312331201
513322431334441344301
6154340214133131505
76664462352041316
oct743107443667541
9140488778881485
1033201113231201
11a640570960013
123882721789b95
13156ab0bac24b6
1482ad2a148d0d
153c898558d4bb
hex1e323c8f6f61

33201113231201 has 2 divisors, whose sum is σ = 33201113231202. Its totient is φ = 33201113231200.

The previous prime is 33201113231197. The next prime is 33201113231227. The reversal of 33201113231201 is 10213231110233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21701147085601 + 11499966145600 = 4658449^2 + 3391160^2 .

It is an emirp because it is prime and its reverse (10213231110233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33201113231201 - 22 = 33201113231197 is a prime.

It is a super-2 number, since 2×332011132312012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33201113231261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16600556615600 + 16600556615601.

It is an arithmetic number, because the mean of its divisors is an integer number (16600556615601).

Almost surely, 233201113231201 is an apocalyptic number.

It is an amenable number.

33201113231201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33201113231201 is an equidigital number, since it uses as much as digits as its factorization.

33201113231201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 33201113231201 its reverse (10213231110233), we get a palindrome (43414344341434).

The spelling of 33201113231201 in words is "thirty-three trillion, two hundred one billion, one hundred thirteen million, two hundred thirty-one thousand, two hundred one".