Search a number
-
+
33442413112201 is a prime number
BaseRepresentation
bin1111001101010011010110…
…01001110110101110001001
311101102001201021021202001111
413212221223021312232021
513340410030224042301
6155043122115050321
710021064113142542
oct746515311665611
9141361637252044
1033442413112201
11a7239363a6075
1239014445a09a1
1315877b5589982
1483889b2c74c9
153ceda96b4551
hex1e6a6b276b89

33442413112201 has 2 divisors, whose sum is σ = 33442413112202. Its totient is φ = 33442413112200.

The previous prime is 33442413112159. The next prime is 33442413112307. The reversal of 33442413112201 is 10221131424433.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32317803765625 + 1124609346576 = 5684875^2 + 1060476^2 .

It is an emirp because it is prime and its reverse (10221131424433) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33442413112201 is a prime.

It is a super-2 number, since 2×334424131122012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33442413112501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16721206556100 + 16721206556101.

It is an arithmetic number, because the mean of its divisors is an integer number (16721206556101).

Almost surely, 233442413112201 is an apocalyptic number.

It is an amenable number.

33442413112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33442413112201 is an equidigital number, since it uses as much as digits as its factorization.

33442413112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 33442413112201 its reverse (10221131424433), we get a palindrome (43663544536634).

The spelling of 33442413112201 in words is "thirty-three trillion, four hundred forty-two billion, four hundred thirteen million, one hundred twelve thousand, two hundred one".